"for patterns of lengths: ", [[2, 0]]

             There all together, 1, different equivalence classes

For the equivalence class of patterns, {{[[1, 0], [2, 0]]}, {[[2, 0], [1, 0]]}}

           the member , {[[1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

                         Out of a total of , 1, cases

                      1, were successful and , 0, failed

                               Success Rate: , 1.

                             Here are the failures

                                       {}

                                       {}

                     "for patterns of lengths: ", [[2, 1]]

             There all together, 1, different equivalence classes

For the equivalence class of patterns, {{[[1, 1], [2, 0]]}, {[[1, 0], [2, 1]]},

    {[[2, 1], [1, 0]]}, {[[2, 0], [1, 1]]}}

           the member , {[[1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

                         Out of a total of , 1, cases

                      1, were successful and , 0, failed

                               Success Rate: , 1.

                             Here are the failures

                                       {}

                                       {}

                 "for patterns of lengths: ", [[2, 0], [2, 0]]

             There all together, 1, different equivalence classes

 For the equivalence class of patterns, {{[[1, 0], [2, 0]], [[2, 0], [1, 0]]}}

  the member , {[[1, 0], [2, 0]], [[2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

                         Out of a total of , 1, cases

                      1, were successful and , 0, failed

                               Success Rate: , 1.

                             Here are the failures

                                       {}

                                       {}

                 "for patterns of lengths: ", [[2, 1], [2, 0]]

             There all together, 2, different equivalence classes

For the equivalence class of patterns, {{[[2, 0], [1, 0]], [[1, 1], [2, 0]]},

    {[[2, 0], [1, 0]], [[1, 0], [2, 1]]}, {[[1, 0], [2, 0]], [[2, 1], [1, 0]]},

    {[[1, 0], [2, 0]], [[2, 0], [1, 1]]}}

  the member , {[[2, 0], [1, 0]], [[1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0]], [[1, 1], [2, 0]]},

    {[[1, 0], [2, 0]], [[1, 0], [2, 1]]}, {[[2, 0], [1, 0]], [[2, 1], [1, 0]]},

    {[[2, 0], [1, 0]], [[2, 0], [1, 1]]}}

  the member , {[[1, 0], [2, 0]], [[1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

                         Out of a total of , 2, cases

                      2, were successful and , 0, failed

                               Success Rate: , 1.

                             Here are the failures

                                       {}

                                       {}

                 "for patterns of lengths: ", [[2, 1], [2, 1]]

             There all together, 2, different equivalence classes

For the equivalence class of patterns, {{[[1, 1], [2, 0]], [[2, 1], [1, 0]]},

    {[[1, 1], [2, 0]], [[2, 0], [1, 1]]}, {[[1, 0], [2, 1]], [[2, 1], [1, 0]]},

    {[[1, 0], [2, 1]], [[2, 0], [1, 1]]}}

  the member , {[[1, 1], [2, 0]], [[2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [2, 0]], [[1, 0], [2, 1]]}, {[[2, 1], [1, 0]], [[2, 0], [1, 1]]}}

  the member , {[[1, 1], [2, 0]], [[1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

                         Out of a total of , 2, cases

                      2, were successful and , 0, failed

                               Success Rate: , 1.

                             Here are the failures

                                       {}

                                       {}

                     "for patterns of lengths: ", [[3, 0]]

             There all together, 2, different equivalence classes

For the equivalence class of patterns,

    {{[[3, 0], [2, 0], [1, 0]]}, {[[1, 0], [2, 0], [3, 0]]}}

       the member , {[[3, 0], [2, 0], [1, 0]]}, has a scheme of depth , 2

                                  here it is:

{[[1], {}, {}, {}], [[2, 1], {[1, 0, 0]}, {2}, {}], [[], {}, {}, {}],

    [[1, 2], {}, {1}, {}]}

    Naively, we would expect the sequence to begin , 1, 1, 2, 5, 14, 42, 132

                 Using  the scheme, the first, , 31, terms are

[1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, 16796, 58786, 208012, 742900,

    2674440, 9694845, 35357670, 129644790, 477638700, 1767263190, 6564120420,

    24466267020, 91482563640, 343059613650, 1289904147324, 4861946401452,

    18367353072152, 69533550916004, 263747951750360, 1002242216651368,

    3814986502092304]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]]},

    {[[3, 0], [1, 0], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]]},

    {[[2, 0], [1, 0], [3, 0]]}}

       the member , {[[3, 0], [1, 0], [2, 0]]}, has a scheme of depth , 2

                                  here it is:

{[[1], {}, {}, {}], [[], {}, {}, {}], [[1, 2], {}, {1}, {}],

    [[2, 1], {[0, 1, 0]}, {1}, {}]}

    Naively, we would expect the sequence to begin , 1, 1, 2, 5, 14, 42, 132

                 Using  the scheme, the first, , 31, terms are

[1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, 16796, 58786, 208012, 742900,

    2674440, 9694845, 35357670, 129644790, 477638700, 1767263190, 6564120420,

    24466267020, 91482563640, 343059613650, 1289904147324, 4861946401452,

    18367353072152, 69533550916004, 263747951750360, 1002242216651368,

    3814986502092304]

                         Out of a total of , 2, cases

                      2, were successful and , 0, failed

                               Success Rate: , 1.

                             Here are the failures

                                       {}

                                       {}

                     "for patterns of lengths: ", [[3, 1]]

             There all together, 4, different equivalence classes

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 0]]},

    {[[1, 0], [3, 0], [2, 1]]}, {[[2, 1], [1, 0], [3, 0]]},

    {[[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [3, 0], [1, 0]]},

    {[[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]]},

    {[[3, 0], [1, 0], [2, 1]]}}

       the member , {[[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]]},

    {[[2, 0], [3, 0], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]]},

    {[[1, 1], [3, 0], [2, 0]]}}

       the member , {[[2, 0], [1, 0], [3, 1]]}, has a scheme of depth , 3

                                  here it is:

{[[1], {}, {}, {}], [[], {}, {}, {}], [[2, 1], {}, {}, {2}],

    [[1, 2], {}, {1}, {}], [[3, 2, 1], {}, {2}, {3}], [[2, 1, 3], {}, {1}, {}],

    [[3, 1, 2], {}, {2}, {3}]}

    Naively, we would expect the sequence to begin , 1, 1, 1, 2, 6, 24, 120

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600,

    6227020800, 87178291200, 1307674368000, 20922789888000, 355687428096000,

    6402373705728000, 121645100408832000, 2432902008176640000,

    51090942171709440000, 1124000727777607680000, 25852016738884976640000,

    620448401733239439360000, 15511210043330985984000000,

    403291461126605635584000000, 10888869450418352160768000000,

    304888344611713860501504000000, 8841761993739701954543616000000]

For the equivalence class of patterns,

    {{[[3, 0], [2, 1], [1, 0]]}, {[[1, 0], [2, 1], [3, 0]]}}

       the member , {[[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[3, 1], [2, 0], [1, 0]]},

    {[[3, 0], [2, 0], [1, 1]]}, {[[1, 1], [2, 0], [3, 0]]},

    {[[1, 0], [2, 0], [3, 1]]}}

       the member , {[[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

                         Out of a total of , 4, cases

                      4, were successful and , 0, failed

                               Success Rate: , 1.

                             Here are the failures

                                       {}

                                       {}

                     "for patterns of lengths: ", [[3, 2]]

             There all together, 4, different equivalence classes

For the equivalence class of patterns, {{[[1, 0], [2, 1], [3, 1]]},

    {[[1, 1], [2, 1], [3, 0]]}, {[[3, 0], [2, 1], [1, 1]]},

    {[[3, 1], [2, 1], [1, 0]]}}

       the member , {[[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns,

    {{[[1, 1], [2, 0], [3, 1]]}, {[[3, 1], [2, 0], [1, 1]]}}

       the member , {[[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]]},

    {[[2, 1], [1, 1], [3, 0]]}, {[[2, 1], [3, 1], [1, 0]]},

    {[[3, 0], [1, 1], [2, 1]]}}

       the member , {[[1, 0], [3, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]]}, {[[2, 0], [1, 1], [3, 1]]},

    {[[2, 1], [1, 0], [3, 1]]}, {[[2, 0], [3, 1], [1, 1]]},

    {[[2, 1], [3, 0], [1, 1]]}, {[[3, 1], [1, 0], [2, 1]]},

    {[[3, 1], [1, 1], [2, 0]]}}

       the member , {[[1, 1], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

                         Out of a total of , 4, cases

                      4, were successful and , 0, failed

                               Success Rate: , 1.

                             Here are the failures

                                       {}

                                       {}

                 "for patterns of lengths: ", [[3, 0], [3, 0]]

             There all together, 5, different equivalence classes

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], [[3, 0], [1, 0], [2, 0]]},

    {[[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 0], [2, 0]]},

    {[[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 0], [2, 0]]},

    {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[3, 0], [1, 0], [2, 0]]},

    has a scheme of depth , 2

                                  here it is:

{[[1], {}, {}, {}], [[], {}, {}, {}], [[2, 1], {[0, 1, 0]}, {1}, {}],

    [[1, 2], {[0, 1, 0]}, {1}, {}]}

     Naively, we would expect the sequence to begin , 1, 1, 2, 4, 8, 16, 32

                 Using  the scheme, the first, , 31, terms are

[1, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768,

    65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608, 16777216,

    33554432, 67108864, 134217728, 268435456, 536870912]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 0]]},

    {[[2, 0], [3, 0], [1, 0]], [[3, 0], [1, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 0]]},

    has a scheme of depth , 2

                                  here it is:

{[[1], {}, {}, {}], [[], {}, {}, {}], [[1, 2], {[0, 1, 0]}, {1}, {}],

    [[2, 1], {[0, 0, 1]}, {1}, {}]}

     Naively, we would expect the sequence to begin , 1, 1, 2, 4, 8, 16, 32

                 Using  the scheme, the first, , 31, terms are

[1, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768,

    65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608, 16777216,

    33554432, 67108864, 134217728, 268435456, 536870912]

For the equivalence class of patterns,

    {{[[1, 0], [2, 0], [3, 0]], [[3, 0], [2, 0], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 0], [2, 0], [1, 0]]},

    has a scheme of depth , 2

                                  here it is:

{[[1], {}, {}, {}], [[], {}, {}, {}], [[2, 1], {[1, 0, 0], [0, 2, 0]}, {1}, {}],

    [[1, 2], {[0, 0, 1], [0, 2, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 2, 4, 4, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]]},

    {[[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 0], [3, 0]]},

    {[[2, 0], [3, 0], [1, 0]], [[3, 0], [2, 0], [1, 0]]},

    {[[3, 0], [2, 0], [1, 0]], [[3, 0], [1, 0], [2, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 2]}, {1}, {}]}

     Naively, we would expect the sequence to begin , 1, 1, 2, 4, 8, 16, 32

                 Using  the scheme, the first, , 31, terms are

[1, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384, 32768,

    65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608, 16777216,

    33554432, 67108864, 134217728, 268435456, 536870912]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 0], [3, 0]]},

    {[[1, 0], [3, 0], [2, 0]], [[3, 0], [2, 0], [1, 0]]},

    {[[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 0], [1, 0]]},

    {[[1, 0], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 0], [3, 0]]},

    has a scheme of depth , 2

                                  here it is:

{[[1], {}, {}, {}], [[], {}, {}, {}], [[1, 2], {[1, 0, 0], [0, 0, 1]}, {2}, {}],

    [[2, 1], {[0, 1, 1]}, {1}, {}]}

     Naively, we would expect the sequence to begin , 1, 1, 2, 4, 7, 11, 16

                 Using  the scheme, the first, , 31, terms are

[1, 1, 2, 4, 7, 11, 16, 22, 29, 37, 46, 56, 67, 79, 92, 106, 121, 137, 154, 172,

    191, 211, 232, 254, 277, 301, 326, 352, 379, 407, 436]

                         Out of a total of , 5, cases

                      5, were successful and , 0, failed

                               Success Rate: , 1.

                             Here are the failures

                                       {}

                                       {}

                 "for patterns of lengths: ", [[3, 0], [3, 1]]

             There all together, 20, different equivalence classes

For the equivalence class of patterns, {

    {[[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 0]]},

    {[[3, 0], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]]},

    {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]]},

    {[[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]]},

    {[[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]]},

    {[[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]]},

    {[[2, 0], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 0]]},

    {[[2, 0], [3, 0], [1, 0]], [[3, 0], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 0]]},

    {[[3, 0], [1, 0], [2, 0]], [[3, 0], [2, 1], [1, 0]]},

    {[[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 0]]},

    {[[2, 0], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]]},

    {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]},

    {[[3, 0], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]]},

    {[[3, 0], [1, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]]},

    {[[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]]},

    {[[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]]},

    {[[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 0]]},

    {[[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 0]]},

    {[[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 1]]},

    {[[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 0]]},

    {[[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 0], [3, 1]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 1]]},

    has a scheme of depth , 3

                                  here it is:

{[[1], {}, {}, {}], [[], {}, {}, {}], [[1, 2, 3], {}, {2}, {3}],

    [[1, 3, 2], {[0, 0, 1, 0]}, {2}, {3}], [[2, 1], {[0, 1, 0]}, {1}, {}],

    [[1, 2], {}, {}, {2}], [[2, 3, 1], {[0, 1, 0, 0], [0, 0, 1, 0]}, {1}, {}]}

     Naively, we would expect the sequence to begin , 1, 1, 1, 2, 5, 14, 42

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, 16796, 58786, 208012, 742900,

    2674440, 9694845, 35357670, 129644790, 477638700, 1767263190, 6564120420,

    24466267020, 91482563640, 343059613650, 1289904147324, 4861946401452,

    18367353072152, 69533550916004, 263747951750360, 1002242216651368]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]]},

    {[[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]]},

    {[[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]]},

    {[[2, 0], [3, 0], [1, 0]], [[3, 0], [2, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 0], [3, 1]]},

    {[[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 0], [3, 1]]},

    {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]]},

    {[[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 0]]},

    {[[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 0], [1, 1]]},

    {[[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 0]]},

    {[[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 0]]},

    {[[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 0]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 0], [3, 1]]},

    has a scheme of depth , 3

                                  here it is:

{[[1], {}, {}, {}], [[], {}, {}, {}], [[1, 2], {}, {1}, {}],

    [[3, 1, 2], {[0, 0, 0, 0]}, {1}, {}],

    [[3, 2, 1], {[0, 1, 0, 0], [0, 0, 1, 0]}, {2}, {3}],

    [[2, 1], {[0, 1, 0]}, {}, {2}], [[2, 1, 3], {[0, 1, 0, 0]}, {1}, {}]}

     Naively, we would expect the sequence to begin , 1, 1, 1, 2, 5, 14, 42

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, 16796, 58786, 208012, 742900,

    2674440, 9694845, 35357670, 129644790, 477638700, 1767263190, 6564120420,

    24466267020, 91482563640, 343059613650, 1289904147324, 4861946401452,

    18367353072152, 69533550916004, 263747951750360, 1002242216651368]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 0], [3, 1]]},

    {[[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 0], [2, 0]]},

    {[[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 0]]},

    {[[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 0], [3, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[3, 0], [2, 0], [1, 0]], [[2, 0], [3, 0], [1, 1]]},

    {[[3, 0], [2, 0], [1, 0]], [[3, 1], [1, 0], [2, 0]]},

    {[[1, 0], [2, 0], [3, 0]], [[2, 0], [1, 0], [3, 1]]},

    {[[1, 0], [2, 0], [3, 0]], [[1, 1], [3, 0], [2, 0]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[2, 0], [3, 0], [1, 1]]},

    has a scheme of depth , 3

                                  here it is:

{[[], {}, {}, {}],

    [[1, 2, 3], {[2, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0]}, {2}, {3}],

    [[1, 2], {[0, 1, 0], [2, 0, 0]}, {}, {2}],

    [[2, 1], {[1, 0, 0], [0, 1, 0], [0, 0, 1]}, {1}, {}],

    [[1, 3, 2], {[0, 0, 0, 0]}, {1}, {}], [[2, 3, 1],

    {[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]}, {1}, {}],

    [[1], {[2, 0]}, {}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]]},

    {[[2, 0], [3, 0], [1, 0]], [[3, 1], [2, 0], [1, 0]]},

    {[[3, 0], [1, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]]},

    {[[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 0], [3, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]]},

    {[[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 0], [2, 1]]},

    {[[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]]},

    {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]]},

    {[[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]]},

    {[[1, 0], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]]},

    {[[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]]},

    {[[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]]},

    {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]]},

    {[[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]]},

    {[[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[1, 0], [3, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]]},

    {[[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]]},

    {[[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{%2, [[2, 1], [3, 0], [1, 0]]},

    {%2, [[2, 0], [3, 1], [1, 0]]}, {%2, [[3, 0], [1, 1], [2, 0]]},

    {%2, [[3, 0], [1, 0], [2, 1]]}, {%1, [[1, 0], [3, 1], [2, 0]]},

    {%1, [[1, 0], [3, 0], [2, 1]]}, {%1, [[2, 1], [1, 0], [3, 0]]},

    {%1, [[2, 0], [1, 1], [3, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 2]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 0]]},

    {[[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 2]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 0]]},

    {[[1, 0], [2, 0], [3, 0]], [[3, 0], [2, 0], [1, 1]]},

    {[[3, 0], [2, 0], [1, 0]], [[1, 1], [2, 0], [3, 0]]},

    {[[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 2]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 0], [1, 0]]},

    {[[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 0], [1, 1]]},

    {[[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]]},

    {[[1, 0], [3, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]]},

    {[[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 0], [3, 0]]},

    {[[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 0], [3, 1]]},

    {[[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]]},

    {[[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 0], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[1, 0], [2, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]]},

    {[[1, 0], [2, 0], [3, 0]], [[3, 1], [1, 0], [2, 0]]},

    {[[3, 0], [2, 0], [1, 0]], [[1, 1], [3, 0], [2, 0]]},

    {[[3, 0], [2, 0], [1, 0]], [[2, 0], [1, 0], [3, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]]},

    has a scheme of depth , 3

                                  here it is:

{[[1], {}, {}, {}], [[], {}, {}, {}], [[2, 1], {}, {1}, {}],

    [[1, 3, 2], {[0, 0, 1, 0], [0, 0, 0, 1]}, {2}, {3}],

    [[1, 2], {[0, 0, 1]}, {}, {2}], [[1, 2, 3], {[0, 0, 0, 0]}, {1}, {}],

    [[2, 3, 1], {[0, 0, 0, 1]}, {1}, {}]}

     Naively, we would expect the sequence to begin , 1, 1, 1, 2, 5, 14, 42

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, 16796, 58786, 208012, 742900,

    2674440, 9694845, 35357670, 129644790, 477638700, 1767263190, 6564120420,

    24466267020, 91482563640, 343059613650, 1289904147324, 4861946401452,

    18367353072152, 69533550916004, 263747951750360, 1002242216651368]

For the equivalence class of patterns, {{%2, [[2, 1], [1, 0], [3, 0]]},

    {%2, [[2, 0], [1, 1], [3, 0]]}, {%2, [[1, 0], [3, 1], [2, 0]]},

    {%2, [[1, 0], [3, 0], [2, 1]]}, {%1, [[3, 0], [1, 1], [2, 0]]},

    {%1, [[3, 0], [1, 0], [2, 1]]}, {%1, [[2, 1], [3, 0], [1, 0]]},

    {%1, [[2, 0], [3, 1], [1, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 0]]},

    {[[1, 0], [3, 0], [2, 0]], [[3, 0], [2, 1], [1, 0]]},

    {[[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 0]]},

    {[[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 0]]},

    {[[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]]},

    {[[3, 0], [2, 0], [1, 0]], [[3, 1], [2, 0], [1, 0]]},

    {[[3, 0], [2, 0], [1, 0]], [[3, 0], [2, 0], [1, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

                         Out of a total of , 20, cases

                      20, were successful and , 0, failed

                               Success Rate: , 1.

                             Here are the failures

                                       {}

                                       {}

                 "for patterns of lengths: ", [[3, 0], [3, 2]]

             There all together, 20, different equivalence classes

For the equivalence class of patterns, {

    {[[3, 0], [2, 0], [1, 0]], [[2, 1], [3, 1], [1, 0]]},

    {[[3, 0], [2, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]]},

    {[[1, 0], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]]},

    {[[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[2, 1], [3, 1], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]]},

    {[[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]]},

    {[[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]]},

    {[[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]]},

    {[[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]]},

    {[[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]]},

    {[[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]]},

    {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]]},

    {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]]},

    {[[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 1]]},

    {[[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]]},

    {[[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]]},

    {[[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]]},

    {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]]},

    {[[2, 0], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]]},

    {[[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]]},

    {[[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]]},

    {[[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]]},

    {[[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]]},

    {[[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]]},

    {[[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [2, 0], [1, 0]], [[3, 1], [2, 0], [1, 1]]},

    {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[3, 1], [2, 0], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]]},

    {[[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]]},

    {[[2, 0], [3, 0], [1, 0]], [[3, 1], [2, 0], [1, 1]]},

    {[[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 0], [1, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]},

    {[[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]]},

    {[[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]]},

    {[[3, 0], [2, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]]},

    {[[1, 0], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]]},

    {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]]},

    {[[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]},

    {[[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]]},

    {[[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]]},

    {[[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]]},

    {[[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%2, [[2, 0], [3, 1], [1, 1]]},

    {%2, [[2, 1], [3, 0], [1, 1]]}, {%2, [[3, 1], [1, 0], [2, 1]]},

    {%2, [[3, 1], [1, 1], [2, 0]]}, {%1, [[1, 1], [3, 0], [2, 1]]},

    {%1, [[1, 1], [3, 1], [2, 0]]}, {%1, [[2, 0], [1, 1], [3, 1]]},

    {%1, [[2, 1], [1, 0], [3, 1]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]]},

    {[[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]]},

    {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]]},

    {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]]},

    {[[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]]},

    {[[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]]},

    {[[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]]},

    {[[3, 0], [2, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]]},

    {[[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]]},

    {[[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]},

    {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]]},

    {[[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]]},

    {[[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]]},

    {[[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]]},

    {[[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]]},

    {[[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]]},

    {[[2, 0], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]]},

    {[[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 0], [1, 1]]},

    {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]]},

    {[[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]]},

    {[[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 0], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]]},

    {[[3, 0], [2, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]]},

    {[[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]]},

    {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]]},

    {[[3, 0], [2, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]]},

    {[[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]]},

    {[[1, 0], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%2, [[1, 1], [3, 0], [2, 1]]},

    {%2, [[1, 1], [3, 1], [2, 0]]}, {%2, [[2, 0], [1, 1], [3, 1]]},

    {%2, [[2, 1], [1, 0], [3, 1]]}, {%1, [[2, 0], [3, 1], [1, 1]]},

    {%1, [[2, 1], [3, 0], [1, 1]]}, {%1, [[3, 1], [1, 0], [2, 1]]},

    {%1, [[3, 1], [1, 1], [2, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]]},

    {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]]},

    {[[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 1], [1, 0]]},

    {[[3, 0], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]]},

    {[[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]]},

    {[[2, 0], [3, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]]},

    {[[3, 0], [1, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

                         Out of a total of , 20, cases

                      20, were successful and , 0, failed

                               Success Rate: , 1.

                             Here are the failures

                                       {}

                                       {}

                 "for patterns of lengths: ", [[3, 1], [3, 1]]

             There all together, 28, different equivalence classes

For the equivalence class of patterns, {

    {[[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 0]]},

    {[[2, 1], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]]},

    {[[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]]},

    {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]},

    {[[1, 0], [3, 1], [2, 0]], [[2, 0], [3, 0], [1, 1]]},

    {[[1, 1], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 0]]}}

the member , {[[2, 1], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns,

    {{[[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 1], [1, 0]]}}

the member , {[[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 1], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]},

    {[[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]},

    {[[1, 0], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]},

    {[[2, 0], [3, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]]}}

the member , {[[2, 0], [1, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[2, 0], [1, 1], [3, 0]], [[2, 0], [1, 0], [3, 1]]},

    {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]},

    {[[1, 0], [3, 1], [2, 0]], [[1, 1], [3, 0], [2, 0]]},

    {[[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]},

    {[[1, 0], [3, 0], [2, 1]], [[1, 1], [3, 0], [2, 0]]},

    {[[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]]},

    {[[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]]},

    {[[2, 0], [3, 1], [1, 0]], [[2, 0], [3, 0], [1, 1]]}}

the member , {[[2, 0], [1, 1], [3, 0]], [[2, 0], [1, 0], [3, 1]]},

    has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 0]]},

    {[[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 0], [1, 1]]},

    {[[1, 1], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 0]]},

    {[[1, 1], [3, 0], [2, 0]], [[2, 0], [3, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 0]]},

    has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [1, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]},

    {[[1, 0], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]},

    {[[2, 0], [1, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]},

    {[[3, 0], [1, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}}

the member , {[[3, 0], [1, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]]},

    {[[2, 0], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]]},

    {[[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}}

the member , {[[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]]},

    has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [1, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[2, 0], [1, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]]},

    {[[3, 0], [1, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]},

    {[[1, 0], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}}

the member , {[[3, 0], [1, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[1, 1], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]]},

    {[[3, 0], [2, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]]},

    {[[3, 0], [2, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]]},

    {[[3, 1], [2, 0], [1, 0]], [[2, 1], [3, 0], [1, 0]]},

    {[[1, 0], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]]},

    {[[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[1, 0], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]},

    {[[1, 1], [2, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]]},

    {[[3, 0], [2, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 0]], %2},

    {[[2, 0], [1, 1], [3, 0]], %2}, {[[2, 1], [1, 0], [3, 0]], %2},

    {[[1, 0], [3, 0], [2, 1]], %2}, {%1, [[3, 0], [1, 1], [2, 0]]},

    {%1, [[2, 1], [3, 0], [1, 0]]}, {%1, [[3, 0], [1, 0], [2, 1]]},

    {%1, [[2, 0], [3, 1], [1, 0]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 0], [3, 1], [2, 0]], [[1, 0], [2, 1], [3, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[1, 1], [2, 0], [3, 0]], [[1, 1], [3, 0], [2, 0]]},

    {[[3, 0], [2, 0], [1, 1]], [[2, 0], [3, 0], [1, 1]]},

    {[[3, 1], [2, 0], [1, 0]], [[3, 1], [1, 0], [2, 0]]},

    {[[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[1, 1], [3, 0], [2, 0]]},

    has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]]},

    {[[2, 1], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]]},

    {[[1, 0], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]]},

    has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%2, [[3, 0], [1, 1], [2, 0]]},

    {%2, [[3, 0], [1, 0], [2, 1]]}, {%2, [[2, 0], [3, 1], [1, 0]]},

    {%2, [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 1], [2, 0]], %1},

    {[[1, 0], [3, 0], [2, 1]], %1}, {[[2, 0], [1, 1], [3, 0]], %1},

    {[[2, 1], [1, 0], [3, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]]},

    has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]]},

    {[[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 0], [1, 1]]},

    {[[1, 1], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]]},

    {[[1, 0], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]},

    {[[2, 0], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]},

    {[[1, 0], [2, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]]},

    {[[1, 0], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]}}

the member , {[[1, 0], [3, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [2, 0], [3, 0]], [[2, 0], [1, 0], [3, 1]]},

    {[[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]]},

    {[[1, 0], [2, 0], [3, 1]], [[1, 1], [3, 0], [2, 0]]},

    {[[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 0], [1, 1]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[2, 0], [1, 0], [3, 1]]},

    has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]]},

    {[[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]]},

    {[[3, 0], [2, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [2, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]},

    {[[3, 1], [2, 0], [1, 0]], [[3, 0], [1, 1], [2, 0]]},

    {[[2, 1], [1, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]]},

    {[[2, 0], [1, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]]},

    {[[3, 1], [2, 0], [1, 0]], [[3, 0], [1, 0], [2, 1]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[1, 0], [2, 1], [3, 0]], [[3, 1], [1, 0], [2, 0]]},

    {[[1, 0], [2, 1], [3, 0]], [[2, 0], [3, 0], [1, 1]]},

    {[[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 0]]},

    {[[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 1], [1, 0]]}}

the member , {[[1, 0], [2, 1], [3, 0]], [[2, 0], [3, 0], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]},

    {[[2, 1], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[2, 0], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]},

    {[[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]},

    {[[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]},

    {[[1, 0], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]},

    {[[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]]},

    {[[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]},

    has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 0]]},

    {[[3, 0], [2, 1], [1, 0]], [[3, 1], [1, 0], [2, 0]]},

    {[[3, 0], [2, 1], [1, 0]], [[2, 0], [3, 0], [1, 1]]},

    {[[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 0]]},

    has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [2, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]]},

    {[[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]]},

    {[[1, 1], [3, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]]},

    {[[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]]},

    {[[2, 0], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]]},

    {[[1, 1], [2, 0], [3, 0]], [[3, 1], [1, 0], [2, 0]]},

    {[[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 0], [2, 0]]},

    {[[1, 0], [2, 0], [3, 1]], [[2, 0], [3, 0], [1, 1]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[3, 0], [2, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]]},

    {[[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 0]]},

    {[[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 0]]},

    {[[1, 0], [2, 0], [3, 1]], [[1, 0], [2, 1], [3, 0]]}}

the member , {[[3, 0], [2, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 0], [1, 1]]},

    {[[1, 1], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 0]]},

    {[[1, 0], [2, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]]},

    {[[1, 0], [2, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 0], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 1], [3, 0]], [[2, 0], [3, 0], [1, 1]]},

    {[[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]]},

    {[[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]]},

    {[[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]]},

    {[[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 0]]},

    {[[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]]},

    {[[1, 0], [3, 0], [2, 1]], [[2, 0], [3, 0], [1, 1]]},

    {[[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 0]]}}

the member , {[[2, 0], [1, 1], [3, 0]], [[2, 0], [3, 0], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]]},

    {[[3, 0], [1, 1], [2, 0]], [[2, 0], [3, 0], [1, 1]]},

    {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]]},

    {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]},

    {[[3, 0], [1, 0], [2, 1]], [[2, 0], [3, 0], [1, 1]]},

    {[[2, 0], [1, 1], [3, 0]], [[1, 1], [3, 0], [2, 0]]},

    {[[2, 1], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 0]]},

    {[[3, 1], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]]}}

the member , {[[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]]},

    {[[1, 0], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]]},

    {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]]},

    {[[1, 0], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]},

    {[[2, 0], [1, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]]},

    {[[2, 1], [1, 0], [3, 0]], [[3, 1], [2, 0], [1, 0]]},

    {[[1, 0], [2, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]]},

    {[[1, 0], [2, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 0]]},

    {[[1, 0], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 0]]},

    {[[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]]},

    {[[1, 0], [2, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

                         Out of a total of , 28, cases

                      27, were successful and , 1, failed

                             Success Rate: , 0.964

                             Here are the failures

{{{[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 0]]},

    {[[3, 1], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 1]]}}}

{{{[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 0]]},

    {[[3, 1], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 1]]}}}

                 "for patterns of lengths: ", [[3, 1], [3, 2]]

             There all together, 50, different equivalence classes

For the equivalence class of patterns, {

    {[[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]]},

    {[[3, 1], [1, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]]},

    {[[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]]},

    {[[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]]},

    {[[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]]},

    {[[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]]},

    {[[3, 1], [1, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]},

    {[[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]]},

    {[[3, 1], [1, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]},

    {[[2, 0], [3, 1], [1, 1]], [[2, 0], [1, 1], [3, 0]]},

    {[[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]]},

    {[[3, 1], [1, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]]},

    {[[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 1], [2, 0], [1, 1]], [[1, 1], [3, 0], [2, 0]]},

    {[[3, 1], [2, 0], [1, 1]], [[2, 0], [1, 0], [3, 1]]},

    {[[1, 1], [2, 0], [3, 1]], [[3, 1], [1, 0], [2, 0]]},

    {[[1, 1], [2, 0], [3, 1]], [[2, 0], [3, 0], [1, 1]]}}

the member , {[[3, 1], [2, 0], [1, 1]], [[1, 1], [3, 0], [2, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 1], [1, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]},

    {[[3, 1], [1, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]},

    {[[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]]},

    {[[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]},

    {[[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]]}}

the member , {[[3, 1], [1, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [2, 1], [3, 1]], [[3, 0], [2, 1], [1, 0]]},

    {[[1, 1], [2, 1], [3, 0]], [[3, 0], [2, 1], [1, 0]]},

    {[[3, 0], [2, 1], [1, 1]], [[1, 0], [2, 1], [3, 0]]},

    {[[3, 1], [2, 1], [1, 0]], [[1, 0], [2, 1], [3, 0]]}}

the member , {[[1, 0], [2, 1], [3, 1]], [[3, 0], [2, 1], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]},

    {[[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]]},

    {[[3, 1], [1, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]},

    {[[2, 1], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 0], [2, 1]]},

    {[[3, 1], [1, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]},

    {[[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 0], [2, 1]]},

    {[[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%2, [[3, 0], [1, 0], [2, 1]]},

    {%2, [[2, 1], [3, 0], [1, 0]]}, {%2, [[2, 0], [3, 1], [1, 0]]},

    {%2, [[3, 0], [1, 1], [2, 0]]}, {%1, [[2, 1], [1, 0], [3, 0]]},

    {%1, [[2, 0], [1, 1], [3, 0]]}, {%1, [[1, 0], [3, 1], [2, 0]]},

    {%1, [[1, 0], [3, 0], [2, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[3, 1], [2, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 0], [1, 1]]},

    {[[3, 0], [2, 1], [1, 1]], [[1, 1], [3, 0], [2, 0]]},

    {[[3, 1], [2, 1], [1, 0]], [[1, 1], [3, 0], [2, 0]]},

    {[[3, 1], [2, 1], [1, 0]], [[2, 0], [1, 0], [3, 1]]},

    {[[3, 0], [2, 1], [1, 1]], [[2, 0], [1, 0], [3, 1]]},

    {[[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 0]]},

    {[[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 0], [2, 0]]},

    {[[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 0], [1, 1]]}}

the member , {[[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 0], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [2, 1], [1, 1]], [[3, 0], [2, 1], [1, 0]]},

    {[[3, 1], [2, 1], [1, 0]], [[3, 0], [2, 1], [1, 0]]},

    {[[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 1], [3, 0]]},

    {[[1, 0], [2, 1], [3, 1]], [[1, 0], [2, 1], [3, 0]]}}

the member , {[[3, 0], [2, 1], [1, 1]], [[3, 0], [2, 1], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [2, 1], [3, 0]], [[1, 1], [3, 0], [2, 0]]},

    {[[3, 0], [2, 1], [1, 1]], [[2, 0], [3, 0], [1, 1]]},

    {[[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 0], [3, 1]]},

    {[[3, 1], [2, 1], [1, 0]], [[3, 1], [1, 0], [2, 0]]}}

the member , {[[1, 1], [2, 1], [3, 0]], [[1, 1], [3, 0], [2, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 1], [2, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]]},

    {[[1, 1], [2, 0], [3, 1]], [[1, 0], [2, 1], [3, 0]]}}

the member , {[[3, 1], [2, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [2, 0], [3, 1]], [[1, 1], [3, 0], [2, 0]]},

    {[[3, 1], [2, 0], [1, 1]], [[2, 0], [3, 0], [1, 1]]},

    {[[1, 1], [2, 0], [3, 1]], [[2, 0], [1, 0], [3, 1]]},

    {[[3, 1], [2, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]]}}

the member , {[[1, 1], [2, 0], [3, 1]], [[1, 1], [3, 0], [2, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]},

    {[[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]},

    {[[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]]},

    {[[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 0], [2, 1]]},

    {[[3, 1], [2, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]]},

    {[[3, 0], [2, 1], [1, 1]], [[2, 0], [1, 1], [3, 0]]},

    {[[3, 1], [2, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]]},

    {[[3, 0], [2, 1], [1, 1]], [[1, 0], [3, 0], [2, 1]]}}

the member , {[[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 1], [2, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]]},

    {[[3, 0], [2, 1], [1, 1]], [[2, 1], [3, 0], [1, 0]]},

    {[[3, 0], [2, 1], [1, 1]], [[2, 0], [3, 1], [1, 0]]},

    {[[3, 1], [2, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]]},

    {[[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]},

    {[[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]},

    {[[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]]},

    {[[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]}}

the member , {[[3, 1], [2, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [2, 1], [3, 1]], [[1, 1], [3, 0], [2, 0]]},

    {[[3, 1], [2, 1], [1, 0]], [[2, 0], [3, 0], [1, 1]]},

    {[[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 0], [3, 1]]},

    {[[3, 0], [2, 1], [1, 1]], [[3, 1], [1, 0], [2, 0]]}}

the member , {[[1, 0], [2, 1], [3, 1]], [[1, 1], [3, 0], [2, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [2, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]]},

    {[[3, 1], [2, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]]},

    {[[3, 1], [2, 1], [1, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [2, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]]},

    {[[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]},

    {[[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]},

    {[[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]]},

    {[[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]}}

the member , {[[3, 0], [2, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]]},

    {[[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [2, 1], [1, 1]], [[2, 1], [1, 0], [3, 0]]},

    {[[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]},

    {[[3, 1], [2, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]]},

    {[[3, 0], [2, 1], [1, 1]], [[1, 0], [3, 1], [2, 0]]},

    {[[3, 1], [2, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]]},

    {[[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]]}}

the member , {[[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 1], [1, 1]], [[1, 1], [3, 0], [2, 0]]},

    {[[3, 1], [1, 0], [2, 1]], [[1, 1], [3, 0], [2, 0]]},

    {[[2, 1], [3, 0], [1, 1]], [[2, 0], [1, 0], [3, 1]]},

    {[[3, 1], [1, 1], [2, 0]], [[2, 0], [1, 0], [3, 1]]},

    {[[1, 1], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 0], [2, 0]]},

    {[[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 0], [1, 1]]},

    {[[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 0], [1, 1]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[1, 1], [3, 0], [2, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]]},

    {[[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]},

    {[[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]]},

    {[[2, 0], [3, 1], [1, 1]], [[2, 1], [1, 0], [3, 0]]},

    {[[3, 1], [1, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]},

    {[[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]},

    {[[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]]},

    {[[3, 1], [1, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 1], [3, 1]], [[1, 1], [3, 0], [2, 0]]},

    {[[2, 1], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 0]]},

    {[[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 0], [3, 1]]},

    {[[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 0], [3, 1]]},

    {[[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 0], [2, 0]]},

    {[[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]]},

    {[[3, 1], [1, 0], [2, 1]], [[2, 0], [3, 0], [1, 1]]},

    {[[3, 1], [1, 1], [2, 0]], [[2, 0], [3, 0], [1, 1]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[1, 1], [3, 0], [2, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 1]], [[1, 1], [3, 0], [2, 0]]},

    {[[1, 1], [3, 1], [2, 0]], [[1, 1], [3, 0], [2, 0]]},

    {[[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 0], [1, 1]]},

    {[[2, 1], [1, 0], [3, 1]], [[2, 0], [1, 0], [3, 1]]},

    {[[2, 0], [1, 1], [3, 1]], [[2, 0], [1, 0], [3, 1]]},

    {[[3, 1], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 0]]},

    {[[3, 1], [1, 1], [2, 0]], [[3, 1], [1, 0], [2, 0]]},

    {[[2, 0], [3, 1], [1, 1]], [[2, 0], [3, 0], [1, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[1, 1], [3, 0], [2, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 1], [1, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]]},

    {[[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]]},

    {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]]},

    {[[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]]},

    {[[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]]},

    {[[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]]},

    {[[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]},

    {[[3, 1], [1, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]}}

the member , {[[3, 1], [1, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [2, 1], [1, 1]], [[3, 0], [2, 0], [1, 1]]},

    {[[1, 1], [2, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]]},

    {[[3, 1], [2, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]]},

    {[[1, 0], [2, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]]}}

the member , {[[3, 0], [2, 1], [1, 1]], [[3, 0], [2, 0], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]},

    {[[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]]},

    {[[2, 1], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]]},

    {[[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]]},

    {[[3, 1], [1, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]},

    {[[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 1], [2, 0]]},

    {[[3, 1], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]]},

    {[[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]]},

    {[[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]]},

    {[[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]], %2},

    {[[1, 1], [3, 1], [2, 0]], %2}, {[[2, 0], [1, 1], [3, 1]], %2},

    {[[2, 1], [1, 0], [3, 1]], %2}, {[[3, 1], [1, 0], [2, 1]], %1},

    {[[3, 1], [1, 1], [2, 0]], %1}, {[[2, 0], [3, 1], [1, 1]], %1},

    {[[2, 1], [3, 0], [1, 1]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 0]]},

    {[[3, 1], [2, 0], [1, 1]], [[1, 0], [2, 1], [3, 0]]}}

the member , {[[1, 1], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 0]]},

    {[[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]},

    {[[3, 1], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]},

    {[[2, 1], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]]},

    {[[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]},

    {[[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]},

    {[[3, 1], [1, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]]},

    {[[3, 1], [2, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]]},

    {[[3, 0], [2, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]]},

    {[[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 0]]},

    {[[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 1], [2, 1]], [[2, 1], [1, 0], [3, 0]]},

    {[[2, 1], [3, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]]},

    {[[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]},

    {[[3, 0], [1, 1], [2, 1]], [[1, 0], [3, 1], [2, 0]]},

    {[[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]]},

    {[[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 1], [3, 0]], [[1, 1], [3, 0], [2, 0]]},

    {[[3, 0], [1, 1], [2, 1]], [[2, 0], [3, 0], [1, 1]]},

    {[[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 0], [3, 1]]},

    {[[2, 1], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 0]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 1], [3, 0], [2, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [3, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]]},

    {[[2, 1], [3, 1], [1, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]]},

    {[[2, 1], [1, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]},

    {[[2, 1], [1, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]},

    {[[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 1], [2, 0]]},

    {[[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 0], [2, 1]]},

    {[[3, 0], [1, 1], [2, 1]], [[3, 0], [1, 0], [2, 1]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 1], [1, 0]]},

    {[[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 0]]},

    {[[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 1], [3, 0]]},

    {[[3, 0], [1, 1], [2, 1]], [[1, 0], [2, 1], [3, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 1], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 0]]},

    {[[3, 0], [1, 1], [2, 1]], [[3, 0], [2, 1], [1, 0]]},

    {[[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 1], [3, 0]]},

    {[[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 1], [3, 0]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]},

    {[[2, 0], [3, 1], [1, 1]], [[2, 0], [3, 1], [1, 0]]},

    {[[3, 1], [1, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]]},

    {[[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]},

    {[[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]]},

    {[[3, 1], [1, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 1], [2, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]]},

    {[[1, 1], [2, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]]},

    {[[3, 1], [2, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]]},

    {[[1, 1], [2, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]]}}

the member , {[[3, 1], [2, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [2, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]]},

    {[[3, 1], [2, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]]},

    {[[3, 0], [2, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]]},

    {[[3, 1], [2, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]]},

    {[[1, 0], [2, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]]},

    {[[1, 0], [2, 1], [3, 1]], [[3, 0], [2, 0], [1, 1]]},

    {[[1, 1], [2, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]},

    {[[1, 1], [2, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]]}}

the member , {[[3, 0], [2, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]], %2},

    {[[2, 0], [3, 1], [1, 1]], %2}, {[[3, 1], [1, 0], [2, 1]], %2},

    {[[3, 1], [1, 1], [2, 0]], %2}, {[[1, 1], [3, 1], [2, 0]], %1},

    {[[1, 1], [3, 0], [2, 1]], %1}, {[[2, 0], [1, 1], [3, 1]], %1},

    {[[2, 1], [1, 0], [3, 1]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]},

    {[[3, 1], [1, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]]},

    {[[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]},

    {[[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]]},

    {[[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[3, 0], [2, 0], [1, 1]]},

    {[[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]]},

    {[[3, 1], [1, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]},

    {[[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 0]]},

    {[[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]]},

    {[[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 0], [2, 1]]},

    {[[2, 1], [3, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]]},

    {[[3, 0], [1, 1], [2, 1]], [[2, 0], [1, 1], [3, 0]]},

    {[[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]]},

    {[[3, 0], [1, 1], [2, 1]], [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 0], [1, 1]]},

    {[[2, 1], [3, 0], [1, 1]], [[1, 1], [3, 0], [2, 0]]},

    {[[3, 1], [1, 1], [2, 0]], [[1, 1], [3, 0], [2, 0]]},

    {[[2, 0], [3, 1], [1, 1]], [[2, 0], [1, 0], [3, 1]]},

    {[[3, 1], [1, 0], [2, 1]], [[2, 0], [1, 0], [3, 1]]},

    {[[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 0]]},

    {[[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 0]]},

    {[[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 0], [1, 1]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 0], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 1], [1, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]},

    {[[3, 1], [1, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]},

    {[[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]]},

    {[[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]},

    {[[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]},

    {[[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]]},

    {[[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]}}

the member , {[[3, 1], [1, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 1], [2, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]]},

    {[[3, 1], [2, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]},

    {[[1, 1], [2, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]]},

    {[[1, 1], [2, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]]}}

the member , {[[3, 1], [2, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [3, 1], [1, 0]], [[1, 1], [3, 0], [2, 0]]},

    {[[3, 0], [1, 1], [2, 1]], [[1, 1], [3, 0], [2, 0]]},

    {[[2, 1], [3, 1], [1, 0]], [[2, 0], [1, 0], [3, 1]]},

    {[[3, 0], [1, 1], [2, 1]], [[2, 0], [1, 0], [3, 1]]},

    {[[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 0], [2, 0]]},

    {[[2, 1], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 0]]},

    {[[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 0], [1, 1]]},

    {[[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 0], [1, 1]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[1, 1], [3, 0], [2, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%2, [[2, 1], [3, 0], [1, 0]]},

    {%2, [[2, 0], [3, 1], [1, 0]]}, {%2, [[3, 0], [1, 1], [2, 0]]},

    {%1, [[2, 1], [1, 0], [3, 0]]}, {%2, [[3, 0], [1, 0], [2, 1]]},

    {%1, [[2, 0], [1, 1], [3, 0]]}, {%1, [[1, 0], [3, 1], [2, 0]]},

    {%1, [[1, 0], [3, 0], [2, 1]]}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[1, 1], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [1, 1], [2, 1]], [[2, 1], [3, 0], [1, 0]]},

    {[[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]]},

    {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 0]]},

    {[[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 0]]},

    {[[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]]},

    {[[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]},

    {[[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]]},

    {[[3, 0], [1, 1], [2, 1]], [[2, 0], [3, 1], [1, 0]]}}

the member , {[[3, 0], [1, 1], [2, 1]], [[2, 1], [3, 0], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 0]]},

    {[[2, 1], [3, 1], [1, 0]], [[2, 0], [3, 0], [1, 1]]},

    {[[2, 1], [1, 1], [3, 0]], [[2, 0], [1, 0], [3, 1]]},

    {[[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 0], [2, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]]},

    {[[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]]},

    {[[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]},

    {[[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]]},

    {[[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 0], [1, 1]]},

    {[[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]]},

    {[[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]]},

    {[[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]]},

    {[[3, 0], [1, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]]},

    {[[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]]},

    {[[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 0], [1, 1]]},

    {[[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]},

    {[[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]]},

    {[[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]]},

    {[[3, 0], [1, 1], [2, 1]], [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]]},

    {[[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]]},

    {[[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 0], [3, 1]]},

    {[[3, 0], [1, 1], [2, 1]], [[3, 0], [2, 0], [1, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

                         Out of a total of , 50, cases

                      50, were successful and , 0, failed

                               Success Rate: , 1.

                             Here are the failures

                                       {}

                                       {}

                 "for patterns of lengths: ", [[3, 2], [3, 2]]

             There all together, 28, different equivalence classes

For the equivalence class of patterns, {

    {[[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [3, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 1], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 1], [3, 0]]},

    {[[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 1], [3, 0]]},

    {[[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 1]]},

    {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 1]]},

    {[[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 1], [2, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]]},

    {[[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]]},

    {[[1, 1], [3, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]]},

    {[[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]]},

    {[[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]]},

    {[[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 1], [1, 1]]},

    {[[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]]},

    {[[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]},

    {[[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]},

    {[[1, 1], [2, 1], [3, 0]], [[1, 1], [3, 1], [2, 0]]},

    {[[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 1]]},

    {[[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]]},

    {[[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 1], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]},

    {[[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 1], [1, 0]]},

    {[[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]]},

    {[[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]]},

    {[[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 1], [1, 0], [2, 1]], %2},

    {[[2, 0], [3, 1], [1, 1]], %2}, {[[2, 1], [3, 0], [1, 1]], %2},

    {[[3, 1], [1, 1], [2, 0]], %2}, {%1, [[1, 1], [3, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 1]], %1}, {%1, [[2, 0], [1, 1], [3, 1]]},

    {%1, [[2, 1], [1, 0], [3, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [2, 1], [3, 1]], [[3, 1], [2, 0], [1, 1]]},

    {[[1, 1], [2, 1], [3, 0]], [[3, 1], [2, 0], [1, 1]]},

    {[[1, 1], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]},

    {[[1, 1], [2, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 0], [2, 1], [3, 1]], [[3, 1], [2, 0], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 1], [1, 0]]},

    {[[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 1], [1, 0]]},

    {[[3, 1], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]},

    {[[3, 1], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]},

    {[[1, 0], [2, 1], [3, 1]], [[1, 1], [3, 1], [2, 0]]},

    {[[1, 0], [2, 1], [3, 1]], [[1, 1], [3, 0], [2, 1]]},

    {[[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 1]]},

    {[[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 1]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 1], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 1]]},

    {[[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 1]]},

    {[[1, 1], [2, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]]},

    {[[1, 1], [2, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]]},

    {[[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 1]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns,

    {{[[1, 1], [2, 0], [3, 1]], [[3, 1], [2, 0], [1, 1]]}}

the member , {[[1, 1], [2, 0], [3, 1]], [[3, 1], [2, 0], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]]},

    {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 1], [3, 0]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 1]]},

    {[[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 0], [1, 1]]},

    {[[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 1]]},

    {[[1, 1], [2, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [2, 1], [1, 1]], [[3, 1], [2, 0], [1, 1]]},

    {[[3, 1], [2, 0], [1, 1]], [[3, 1], [2, 1], [1, 0]]},

    {[[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 0], [3, 1]]},

    {[[1, 1], [2, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]]}}

the member , {[[3, 0], [2, 1], [1, 1]], [[3, 1], [2, 0], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]},

    {[[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]},

    {[[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]]},

    {[[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 1], [3, 0]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 1], [1, 0]]},

    {[[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]},

    {[[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 1], [1, 0]]},

    {[[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 1], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]},

    {[[3, 0], [1, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]},

    {[[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 1], [2, 1]]},

    {[[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 1], [3, 0]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [2, 1], [3, 1]], [[3, 0], [2, 1], [1, 1]]},

    {[[1, 0], [2, 1], [3, 1]], [[3, 1], [2, 1], [1, 0]]},

    {[[1, 1], [2, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]},

    {[[1, 1], [2, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 0], [2, 1], [3, 1]], [[3, 0], [2, 1], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]},

    {[[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]},

    {[[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 1], [1, 0]]},

    {[[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]]},

    {[[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 1], [1, 0]]},

    {[[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]},

    {[[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]},

    {[[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [2, 1], [1, 1]], [[3, 1], [2, 1], [1, 0]]},

    {[[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 1], [3, 0]]}}

the member , {[[3, 0], [2, 1], [1, 1]], [[3, 1], [2, 1], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]},

    {[[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]},

    {[[2, 0], [1, 1], [3, 1]], [[3, 0], [2, 1], [1, 1]]},

    {[[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]},

    {[[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]]},

    {[[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 0], [1, 1]]},

    {[[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]]},

    {[[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]},

    {[[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]]},

    {[[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 1]]},

    {[[2, 1], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]},

    {[[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]]},

    {[[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%1, [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 0], [2, 1]], %2}, {[[1, 1], [3, 1], [2, 0]], %2},

    {[[2, 0], [1, 1], [3, 1]], %2}, {[[2, 1], [1, 0], [3, 1]], %2},

    {%1, [[2, 0], [3, 1], [1, 1]]}, {%1, [[2, 1], [3, 0], [1, 1]]},

    {%1, [[3, 1], [1, 1], [2, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[1, 1], [2, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]},

    {[[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 1], [1, 0]]},

    {[[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]},

    {[[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]]},

    {[[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]},

    {[[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]]}}

the member , {[[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]]},

    {[[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]]},

    {[[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]]},

    {[[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]},

    {[[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]]},

    {[[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]]},

    {[[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 1]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 1]]},

    {[[3, 1], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 1]], [[1, 1], [3, 1], [2, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 1]]},

    has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

                         Out of a total of , 28, cases

                      28, were successful and , 0, failed

                               Success Rate: , 1.

                             Here are the failures

                                       {}

                                       {}

             "for patterns of lengths: ", [[3, 0], [3, 0], [3, 0]]

             There all together, 5, different equivalence classes

For the equivalence class of patterns, {{%2, [[1, 0], [3, 0], [2, 0]], %1},

    {%2, [[3, 0], [1, 0], [2, 0]], %1}, {%2, [[2, 0], [1, 0], [3, 0]], %1},

    {%2, [[2, 0], [3, 0], [1, 0]], %1}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]]}, has a scheme of depth , 2

                                  here it is:

{[[], {}, {}, {}], [[1], {[0, 2]}, {}, {}],

    [[2, 1], {[0, 1, 1], [0, 0, 2], [1, 0, 0], [0, 2, 0]}, {1}, {}],

    [[1, 2], {[0, 1, 0], [0, 0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 2, 3, 1, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 2, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 0]],

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 0]],

    [[1, 0], [2, 0], [3, 0]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 0]]}, has a scheme of depth , 2

                                  here it is:

{[[1], {}, {}, {}], [[], {}, {}, {}], [[1, 2], {[0, 1, 0]}, {1}, {}],

    [[2, 1], {[1, 0, 0], [0, 0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 2, 3, 4, 5, 6

                 Using  the scheme, the first, , 31, terms are

[1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21,

    22, 23, 24, 25, 26, 27, 28, 29, 30]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 0]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 0]]}, has a scheme of depth , 2

                                  here it is:

{[[1], {}, {}, {}], [[], {}, {}, {}], [[1, 2], {[0, 1, 0]}, {1}, {}],

    [[2, 1], {[0, 1, 0], [0, 0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 2, 3, 4, 5, 6

                 Using  the scheme, the first, , 31, terms are

[1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21,

    22, 23, 24, 25, 26, 27, 28, 29, 30]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]]}, has a scheme of depth , 2

                                  here it is:

{[[], {}, {}, {}], [[1], {[0, 2]}, {}, {}],

    [[1, 2], {[0, 1, 0], [0, 0, 1]}, {1}, {}],

    [[2, 1], {[0, 0, 1], [0, 2, 0]}, {1}, {}]}

     Naively, we would expect the sequence to begin , 1, 1, 2, 3, 5, 8, 13

                 Using  the scheme, the first, , 31, terms are

[1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584,

    4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811,

    514229, 832040, 1346269]

For the equivalence class of patterns, {{%3, %6, %1}, {%4, %6, %1},

    {%5, %3, %6}, {%5, %4, %6}, {%5, %3, %2}, {%5, %4, %2}, {%4, %2, %1},

    {%3, %2, %1}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[2, 0], [1, 0], [3, 0]]

%3 := [[2, 0], [3, 0], [1, 0]]

%4 := [[3, 0], [1, 0], [2, 0]]

%5 := [[3, 0], [2, 0], [1, 0]]

%6 := [[1, 0], [3, 0], [2, 0]]

the member , {[[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]]}, has a scheme of depth , 2

                                  here it is:

{[[], {}, {}, {}], [[1, 2], {[1, 0, 0], [0, 1, 0], [0, 0, 1]}, {1}, {}],

    [[2, 1], {[0, 1, 1], [0, 0, 2], [0, 2, 0]}, {1}, {}],

    [[1], {[0, 2]}, {}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 2, 3, 4, 5, 6

                 Using  the scheme, the first, , 31, terms are

[1, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21,

    22, 23, 24, 25, 26, 27, 28, 29, 30]

                         Out of a total of , 5, cases

                      5, were successful and , 0, failed

                               Success Rate: , 1.

                             Here are the failures

                                       {}

                                       {}

             "for patterns of lengths: ", [[3, 0], [3, 0], [3, 1]]

             There all together, 45, different equivalence classes

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [3, 0], [1, 0]],

    [[2, 0], [3, 0], [1, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 0], [3, 0]],

    [[2, 0], [1, 0], [3, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 2]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]], [[2, 0], [1, 0], [3, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]],

    [[2, 0], [1, 0], [3, 1]]}, has a scheme of depth , 3

                                  here it is:

{[[], {}, {}, {}],

    [[3, 2, 1], {[0, 0, 0, 2], [0, 1, 0, 0], [0, 0, 1, 0]}, {2}, {3}],

    [[1, 2], {[1, 0, 0], [0, 1, 0], [0, 0, 1]}, {1}, {}], [[2, 1, 3],

    {[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]}, {1}, {}],

    [[2, 1], {[0, 0, 2], [0, 1, 0]}, {}, {2}],

    [[3, 1, 2], {[0, 0, 0, 0]}, {1}, {}], [[1], {[0, 2]}, {}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 1]], %2, %1},

    {[[2, 1], [1, 0], [3, 0]], %2, %1}, {[[2, 0], [1, 1], [3, 0]], %2, %1},

    {[[2, 1], [3, 0], [1, 0]], %2, %1}, {[[2, 0], [3, 1], [1, 0]], %2, %1},

    {[[1, 0], [3, 1], [2, 0]], %2, %1}, {[[3, 0], [1, 1], [2, 0]], %2, %1},

    {[[3, 0], [1, 0], [2, 1]], %2, %1}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 0]],

    [[1, 0], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[2, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]], %2, %1},

    {[[1, 0], [2, 0], [3, 1]], %2, %1}, {[[3, 1], [2, 0], [1, 0]], %2, %1},

    {[[3, 0], [2, 0], [1, 1]], %2, %1}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 0], [1, 0]],

    [[1, 0], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[2, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 0], [3, 0]]}, {

    [[3, 0], [2, 1], [1, 0]], [[3, 0], [2, 0], [1, 0]],

    [[1, 0], [2, 0], [3, 0]]}}

the member , {[[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 0], [1, 0]],

    [[1, 0], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[2, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 0]], %1},

    {[[2, 0], [1, 1], [3, 0]], [[1, 0], [3, 0], [2, 0]], %1},

    {[[3, 0], [1, 1], [2, 0]], %2, [[2, 0], [3, 0], [1, 0]]},

    {[[3, 0], [1, 0], [2, 1]], %2, [[2, 0], [3, 0], [1, 0]]},

    {[[2, 1], [3, 0], [1, 0]], %2, [[3, 0], [1, 0], [2, 0]]},

    {[[2, 0], [3, 1], [1, 0]], %2, [[3, 0], [1, 0], [2, 0]]},

    {[[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 0], [3, 0]], %1},

    {[[1, 0], [3, 0], [2, 1]], [[2, 0], [1, 0], [3, 0]], %1}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[2, 1], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[3, 0], [2, 0], [1, 0]],

    [[2, 0], [1, 0], [3, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 1]], [[2, 0], [3, 0], [1, 0]],

    [[1, 0], [2, 0], [3, 0]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[2, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 1]], [[3, 0], [2, 0], [1, 0]],

    [[2, 0], [3, 0], [1, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 0], [1, 0]], [[3, 0], [1, 0], [2, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[2, 0], [1, 0], [3, 0]],

    [[1, 0], [2, 0], [3, 0]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 0], [2, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]]}, {

    [[3, 0], [2, 1], [1, 0]], [[3, 0], [2, 0], [1, 0]],

    [[2, 0], [3, 0], [1, 0]]}, {[[3, 0], [2, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 0]], [[3, 0], [1, 0], [2, 0]]}, {

    [[1, 0], [2, 1], [3, 0]], [[2, 0], [1, 0], [3, 0]],

    [[1, 0], [2, 0], [3, 0]]}}

the member , {[[1, 0], [2, 1], [3, 0]], [[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 0], [2, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 0]]}, {

    [[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 0], [1, 0]],

    [[2, 0], [1, 0], [3, 0]]}, {[[3, 0], [2, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]]}, {

    [[3, 0], [2, 1], [1, 0]], [[2, 0], [3, 0], [1, 0]],

    [[1, 0], [2, 0], [3, 0]]}}

the member , {[[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[2, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 0], [1, 0]],

    [[2, 0], [3, 0], [1, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 0]], [[3, 0], [1, 0], [2, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[2, 0], [1, 0], [3, 0]],

    [[1, 0], [2, 0], [3, 0]]}}

the member , {[[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 0], [1, 0]],

    [[2, 0], [1, 0], [3, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 0], [1, 0]],

    [[1, 0], [2, 0], [3, 0]]}}

the member , {[[1, 0], [2, 0], [3, 1]], [[3, 0], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[2, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%2, %1, [[2, 0], [3, 0], [1, 1]]},

    {%2, %1, [[3, 1], [1, 0], [2, 0]]}, {%2, %1, [[1, 1], [3, 0], [2, 0]]},

    {%2, %1, [[2, 0], [1, 0], [3, 1]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 0], [3, 0]],

    [[2, 0], [3, 0], [1, 1]]}, has a scheme of depth , 3

                                  here it is:

{[[], {}, {}, {}], [[1], {[2, 0], [0, 2]}, {}, {}],

    [[1, 2], {[0, 1, 0], [0, 0, 1], [2, 0, 0]}, {}, {2}],

    [[1, 2, 3], {[0, 0, 0, 0]}, {1}, {}],

    [[2, 1], {[1, 0, 0], [0, 1, 0], [0, 0, 1]}, {1}, {}],

    [[1, 3, 2], {[0, 0, 0, 0]}, {1}, {}], [[2, 3, 1],

    {[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 0], [2, 0]], %1},

    {[[2, 1], [3, 0], [1, 0]], [[1, 0], [3, 0], [2, 0]], %1},

    {[[2, 0], [1, 1], [3, 0]], %2, [[2, 0], [3, 0], [1, 0]]},

    {[[1, 0], [3, 0], [2, 1]], %2, [[2, 0], [3, 0], [1, 0]]},

    {[[1, 0], [3, 1], [2, 0]], %2, [[3, 0], [1, 0], [2, 0]]},

    {[[2, 1], [1, 0], [3, 0]], %2, [[3, 0], [1, 0], [2, 0]]},

    {[[2, 0], [3, 1], [1, 0]], [[2, 0], [1, 0], [3, 0]], %1},

    {[[3, 0], [1, 0], [2, 1]], [[2, 0], [1, 0], [3, 0]], %1}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 2]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 0]], %1},

    {[[2, 0], [3, 1], [1, 0]], [[1, 0], [3, 0], [2, 0]], %1},

    {[[1, 0], [3, 1], [2, 0]], %2, [[2, 0], [3, 0], [1, 0]]},

    {[[2, 1], [1, 0], [3, 0]], %2, [[2, 0], [3, 0], [1, 0]]},

    {[[1, 0], [3, 0], [2, 1]], %2, [[3, 0], [1, 0], [2, 0]]},

    {[[2, 0], [1, 1], [3, 0]], %2, [[3, 0], [1, 0], [2, 0]]},

    {[[2, 1], [3, 0], [1, 0]], [[2, 0], [1, 0], [3, 0]], %1},

    {[[3, 0], [1, 1], [2, 0]], [[2, 0], [1, 0], [3, 0]], %1}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 2]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 0]]}, {

    [[3, 0], [2, 1], [1, 0]], [[3, 0], [2, 0], [1, 0]],

    [[2, 0], [1, 0], [3, 0]]}, {[[1, 0], [2, 1], [3, 0]],

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]]}, {

    [[1, 0], [2, 1], [3, 0]], [[2, 0], [3, 0], [1, 0]],

    [[1, 0], [2, 0], [3, 0]]}}

the member , {[[3, 0], [2, 1], [1, 0]], [[3, 0], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[3, 0], [2, 0], [1, 1]], %2, [[1, 0], [3, 0], [2, 0]]},

    {[[3, 1], [2, 0], [1, 0]], %2, [[1, 0], [3, 0], [2, 0]]},

    {[[3, 0], [2, 0], [1, 1]], %2, [[2, 0], [1, 0], [3, 0]]},

    {[[3, 1], [2, 0], [1, 0]], %2, [[2, 0], [1, 0], [3, 0]]},

    {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 0]], %1},

    {[[1, 0], [2, 0], [3, 1]], [[3, 0], [1, 0], [2, 0]], %1},

    {[[1, 0], [2, 0], [3, 1]], [[2, 0], [3, 0], [1, 0]], %1},

    {[[1, 1], [2, 0], [3, 0]], [[2, 0], [3, 0], [1, 0]], %1}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 1]], [[3, 0], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[2, 0], [1, 1], [3, 0]], %2, [[1, 0], [3, 0], [2, 0]]},

    {[[2, 1], [1, 0], [3, 0]], %2, [[1, 0], [3, 0], [2, 0]]},

    {[[1, 0], [3, 1], [2, 0]], %2, [[2, 0], [1, 0], [3, 0]]},

    {[[1, 0], [3, 0], [2, 1]], %2, [[2, 0], [1, 0], [3, 0]]},

    {[[2, 1], [3, 0], [1, 0]], [[3, 0], [1, 0], [2, 0]], %1},

    {[[2, 0], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 0]], %1},

    {[[3, 0], [1, 1], [2, 0]], [[2, 0], [3, 0], [1, 0]], %1},

    {[[3, 0], [1, 0], [2, 1]], [[2, 0], [3, 0], [1, 0]], %1}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[2, 0], [1, 1], [3, 0]], [[3, 0], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[2, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 0]], %1},

    {[[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 0], [2, 0]], %1},

    {[[1, 0], [2, 0], [3, 1]], %2, [[2, 0], [3, 0], [1, 0]]},

    {[[1, 1], [2, 0], [3, 0]], %2, [[2, 0], [3, 0], [1, 0]]},

    {[[1, 1], [2, 0], [3, 0]], %2, [[3, 0], [1, 0], [2, 0]]},

    {[[1, 0], [2, 0], [3, 1]], %2, [[3, 0], [1, 0], [2, 0]]},

    {[[3, 0], [2, 0], [1, 1]], [[2, 0], [1, 0], [3, 0]], %1},

    {[[3, 1], [2, 0], [1, 0]], [[2, 0], [1, 0], [3, 0]], %1}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 2]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [3, 0], [1, 0]], %2, [[1, 0], [3, 0], [2, 0]]},

    {[[3, 0], [1, 1], [2, 0]], %2, [[1, 0], [3, 0], [2, 0]]},

    {[[2, 0], [3, 1], [1, 0]], %2, [[2, 0], [1, 0], [3, 0]]},

    {[[3, 0], [1, 0], [2, 1]], %2, [[2, 0], [1, 0], [3, 0]]},

    {[[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 0]], %1},

    {[[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 0], [2, 0]], %1},

    {[[2, 0], [1, 1], [3, 0]], [[2, 0], [3, 0], [1, 0]], %1},

    {[[1, 0], [3, 0], [2, 1]], [[2, 0], [3, 0], [1, 0]], %1}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[2, 1], [3, 0], [1, 0]], [[3, 0], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[2, 0], [3, 1], [1, 0]], %2, [[1, 0], [3, 0], [2, 0]]},

    {[[3, 0], [1, 0], [2, 1]], %2, [[1, 0], [3, 0], [2, 0]]},

    {[[2, 1], [3, 0], [1, 0]], %2, [[2, 0], [1, 0], [3, 0]]},

    {[[3, 0], [1, 1], [2, 0]], %2, [[2, 0], [1, 0], [3, 0]]},

    {[[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 0]], %1},

    {[[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 0]], %1},

    {[[1, 0], [3, 1], [2, 0]], [[2, 0], [3, 0], [1, 0]], %1},

    {[[2, 1], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 0]], %1}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[1, 0], [3, 1], [2, 0]], %2, [[1, 0], [3, 0], [2, 0]]},

    {[[1, 0], [3, 0], [2, 1]], %2, [[1, 0], [3, 0], [2, 0]]},

    {[[2, 0], [1, 1], [3, 0]], %2, [[2, 0], [1, 0], [3, 0]]},

    {[[2, 1], [1, 0], [3, 0]], %2, [[2, 0], [1, 0], [3, 0]]},

    {[[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 0], [2, 0]], %1},

    {[[3, 0], [1, 0], [2, 1]], [[3, 0], [1, 0], [2, 0]], %1},

    {[[2, 1], [3, 0], [1, 0]], [[2, 0], [3, 0], [1, 0]], %1},

    {[[2, 0], [3, 1], [1, 0]], [[2, 0], [3, 0], [1, 0]], %1}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [3, 1], [2, 0]], [[3, 0], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[2, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 1], [1, 0]],

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]]}, {

    [[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 0], [1, 0]],

    [[2, 0], [3, 0], [1, 0]]}, {[[1, 0], [2, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 0]], [[3, 0], [1, 0], [2, 0]]}, {

    [[3, 0], [2, 1], [1, 0]], [[2, 0], [1, 0], [3, 0]],

    [[1, 0], [2, 0], [3, 0]]}}

the member , {[[3, 0], [2, 1], [1, 0]], [[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 2]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 0], [1, 1]]},

    {%2, [[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 0]]},

    {%2, [[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]]},

    {%2, [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 0]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[1, 1], [3, 0], [2, 0]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[2, 0], [1, 0], [3, 1]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[1, 1], [3, 0], [2, 0]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[2, 0], [1, 0], [3, 1]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 1]]}, has a scheme of depth , 3

                                  here it is:

{[[], {}, {}, {}],

    [[1, 2, 3], {[2, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0]}, {2}, {3}],

    [[1, 2], {[0, 1, 0], [2, 0, 0]}, {}, {2}],

    [[2, 1], {[1, 0, 0], [0, 1, 0], [0, 0, 1]}, {1}, {}],

    [[1, 3, 2], {[0, 0, 0, 0]}, {1}, {}], [[2, 3, 1],

    {[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]}, {1}, {}],

    [[1], {[2, 0]}, {}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 0], [3, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 0], [3, 0]],

    [[2, 0], [3, 0], [1, 1]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 0], [3, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 0], [3, 1]]}, has a scheme of depth , 3

                                  here it is:

{[[1], {}, {}, {}], [[], {}, {}, {}],

    [[3, 1, 2], {[1, 0, 0, 0], [0, 1, 0, 0]}, {2}, {3}],

    [[1, 2], {[0, 1, 0]}, {1}, {}],

    [[2, 1, 3], {[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0]}, {1}, {}],

    [[3, 2, 1], {[0, 0, 0, 0]}, {1}, {}], [[2, 1], {[1, 0, 0]}, {}, {2}]}

     Naively, we would expect the sequence to begin , 1, 1, 1, 2, 4, 7, 11

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 2, 4, 7, 11, 16, 22, 29, 37, 46, 56, 67, 79, 92, 106, 121, 137, 154,

    172, 191, 211, 232, 254, 277, 301, 326, 352, 379, 407]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 0]], %4, %1},

    {[[2, 0], [1, 1], [3, 0]], %4, %1}, {[[1, 0], [3, 0], [2, 1]], %4, %3},

    {[[2, 1], [3, 0], [1, 0]], %4, %3}, {[[1, 0], [3, 1], [2, 0]], %2, %3},

    {[[3, 0], [1, 1], [2, 0]], %2, %3}, {[[2, 1], [1, 0], [3, 0]], %2, %1},

    {[[3, 0], [1, 0], [2, 1]], %2, %1}}

%1 := [[1, 0], [3, 0], [2, 0]]

%2 := [[2, 0], [3, 0], [1, 0]]

%3 := [[2, 0], [1, 0], [3, 0]]

%4 := [[3, 0], [1, 0], [2, 0]]

the member , {[[2, 0], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 0]], %4, %1},

    {[[3, 0], [1, 1], [2, 0]], %4, %1}, {[[2, 1], [1, 0], [3, 0]], %4, %3},

    {[[3, 0], [1, 0], [2, 1]], %4, %3}, {[[2, 0], [1, 1], [3, 0]], %2, %3},

    {[[2, 0], [3, 1], [1, 0]], %2, %3}, {[[2, 1], [3, 0], [1, 0]], %2, %1},

    {[[1, 0], [3, 0], [2, 1]], %2, %1}}

%1 := [[1, 0], [3, 0], [2, 0]]

%2 := [[2, 0], [3, 0], [1, 0]]

%3 := [[2, 0], [1, 0], [3, 0]]

%4 := [[3, 0], [1, 0], [2, 0]]

the member , {[[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 1]], %4, %1},

    {[[3, 0], [1, 0], [2, 1]], %4, %1}, {[[3, 0], [1, 1], [2, 0]], %4, %3},

    {[[2, 0], [1, 1], [3, 0]], %4, %3}, {[[2, 1], [3, 0], [1, 0]], %2, %3},

    {[[2, 1], [1, 0], [3, 0]], %2, %3}, {[[2, 0], [3, 1], [1, 0]], %2, %1},

    {[[1, 0], [3, 1], [2, 0]], %2, %1}}

%1 := [[1, 0], [3, 0], [2, 0]]

%2 := [[2, 0], [3, 0], [1, 0]]

%3 := [[2, 0], [1, 0], [3, 0]]

%4 := [[3, 0], [1, 0], [2, 0]]

the member , {[[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 0]], %4, %1},

    {[[2, 1], [3, 0], [1, 0]], %4, %1}, {[[2, 0], [3, 1], [1, 0]], %4, %3},

    {[[1, 0], [3, 1], [2, 0]], %4, %3}, {[[1, 0], [3, 0], [2, 1]], %2, %3},

    {[[3, 0], [1, 0], [2, 1]], %2, %3}, {[[3, 0], [1, 1], [2, 0]], %2, %1},

    {[[2, 0], [1, 1], [3, 0]], %2, %1}}

%1 := [[1, 0], [3, 0], [2, 0]]

%2 := [[2, 0], [3, 0], [1, 0]]

%3 := [[2, 0], [1, 0], [3, 0]]

%4 := [[3, 0], [1, 0], [2, 0]]

the member , {[[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]], %4, %1},

    {[[3, 1], [2, 0], [1, 0]], %4, %1}, {[[1, 0], [2, 0], [3, 1]], %4, %3},

    {[[3, 1], [2, 0], [1, 0]], %4, %3}, {[[1, 0], [2, 0], [3, 1]], %2, %3},

    {[[3, 0], [2, 0], [1, 1]], %2, %3}, {[[1, 1], [2, 0], [3, 0]], %2, %1},

    {[[3, 0], [2, 0], [1, 1]], %2, %1}}

%1 := [[1, 0], [3, 0], [2, 0]]

%2 := [[2, 0], [3, 0], [1, 0]]

%3 := [[2, 0], [1, 0], [3, 0]]

%4 := [[3, 0], [1, 0], [2, 0]]

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{%4, %6, %1}, {%3, %6, %1},

    {%4, %6, %5}, {%3, %6, %5}, {%4, %2, %5}, {%3, %2, %5}, {%4, %2, %1},

    {%3, %2, %1}}

%1 := [[1, 0], [3, 0], [2, 0]]

%2 := [[2, 0], [3, 0], [1, 0]]

%3 := [[3, 0], [2, 1], [1, 0]]

%4 := [[1, 0], [2, 1], [3, 0]]

%5 := [[2, 0], [1, 0], [3, 0]]

%6 := [[3, 0], [1, 0], [2, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 1]], %4, %1},

    {[[3, 0], [2, 0], [1, 1]], %4, %1}, {[[1, 1], [2, 0], [3, 0]], %4, %3},

    {[[3, 0], [2, 0], [1, 1]], %4, %3}, {[[1, 1], [2, 0], [3, 0]], %2, %3},

    {[[3, 1], [2, 0], [1, 0]], %2, %3}, {[[1, 0], [2, 0], [3, 1]], %2, %1},

    {[[3, 1], [2, 0], [1, 0]], %2, %1}}

%1 := [[1, 0], [3, 0], [2, 0]]

%2 := [[2, 0], [3, 0], [1, 0]]

%3 := [[2, 0], [1, 0], [3, 0]]

%4 := [[3, 0], [1, 0], [2, 0]]

the member , {[[1, 0], [2, 0], [3, 1]], [[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{%4, %1, [[3, 1], [1, 0], [2, 0]]},

    {%4, %1, [[1, 1], [3, 0], [2, 0]]}, {%4, %3, [[3, 1], [1, 0], [2, 0]]},

    {%4, %3, [[2, 0], [1, 0], [3, 1]]}, {%2, %3, [[2, 0], [1, 0], [3, 1]]},

    {%2, %3, [[2, 0], [3, 0], [1, 1]]}, {%2, %1, [[2, 0], [3, 0], [1, 1]]},

    {%2, %1, [[1, 1], [3, 0], [2, 0]]}}

%1 := [[1, 0], [3, 0], [2, 0]]

%2 := [[2, 0], [3, 0], [1, 0]]

%3 := [[2, 0], [1, 0], [3, 0]]

%4 := [[3, 0], [1, 0], [2, 0]]

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{%4, %1, [[2, 0], [1, 0], [3, 1]]},

    {%4, %1, [[2, 0], [3, 0], [1, 1]]}, {%4, %3, [[2, 0], [3, 0], [1, 1]]},

    {%4, %3, [[1, 1], [3, 0], [2, 0]]}, {%2, %3, [[3, 1], [1, 0], [2, 0]]},

    {%2, %3, [[1, 1], [3, 0], [2, 0]]}, {%2, %1, [[3, 1], [1, 0], [2, 0]]},

    {%2, %1, [[2, 0], [1, 0], [3, 1]]}}

%1 := [[1, 0], [3, 0], [2, 0]]

%2 := [[2, 0], [3, 0], [1, 0]]

%3 := [[2, 0], [1, 0], [3, 0]]

%4 := [[3, 0], [1, 0], [2, 0]]

the member , {[[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 0], [3, 1]]}, has a scheme of depth , 3

                                  here it is:

{[[1], {}, {}, {}], [[], {}, {}, {}],

    [[2, 1, 3], {[0, 1, 0, 0], [0, 0, 1, 0]}, {1}, {}],

    [[1, 2], {[0, 1, 0]}, {1}, {}], [[3, 1, 2], {[0, 0, 0, 0]}, {1}, {}],

    [[3, 2, 1], {[0, 1, 0, 0], [0, 0, 1, 0]}, {2}, {3}],

    [[2, 1], {[0, 1, 0]}, {}, {2}]}

     Naively, we would expect the sequence to begin , 1, 1, 1, 2, 4, 8, 16

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384,

    32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608,

    16777216, 33554432, 67108864, 134217728, 268435456]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 0]], %4, %3},

    {[[1, 0], [3, 1], [2, 0]], %4, %3}, {[[1, 0], [3, 0], [2, 1]], %4, %3},

    {[[2, 1], [1, 0], [3, 0]], %4, %3}, {[[2, 1], [3, 0], [1, 0]], %2, %1},

    {[[2, 0], [3, 1], [1, 0]], %2, %1}, {[[3, 0], [1, 1], [2, 0]], %2, %1},

    {[[3, 0], [1, 0], [2, 1]], %2, %1}}

%1 := [[1, 0], [3, 0], [2, 0]]

%2 := [[2, 0], [1, 0], [3, 0]]

%3 := [[2, 0], [3, 0], [1, 0]]

%4 := [[3, 0], [1, 0], [2, 0]]

the member , {[[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 0]], %4, %3},

    {[[2, 0], [3, 1], [1, 0]], %4, %3}, {[[3, 0], [1, 1], [2, 0]], %4, %3},

    {[[3, 0], [1, 0], [2, 1]], %4, %3}, {[[2, 0], [1, 1], [3, 0]], %2, %1},

    {[[1, 0], [3, 1], [2, 0]], %2, %1}, {[[1, 0], [3, 0], [2, 1]], %2, %1},

    {[[2, 1], [1, 0], [3, 0]], %2, %1}}

%1 := [[1, 0], [3, 0], [2, 0]]

%2 := [[2, 0], [1, 0], [3, 0]]

%3 := [[2, 0], [3, 0], [1, 0]]

%4 := [[3, 0], [1, 0], [2, 0]]

the member , {[[2, 1], [3, 0], [1, 0]], [[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[1, 0], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 0]], %1},

    {[[1, 0], [3, 0], [2, 1]], [[1, 0], [3, 0], [2, 0]], %1},

    {[[2, 1], [3, 0], [1, 0]], %2, [[2, 0], [3, 0], [1, 0]]},

    {[[2, 0], [3, 1], [1, 0]], %2, [[2, 0], [3, 0], [1, 0]]},

    {[[3, 0], [1, 1], [2, 0]], %2, [[3, 0], [1, 0], [2, 0]]},

    {[[3, 0], [1, 0], [2, 1]], %2, [[3, 0], [1, 0], [2, 0]]},

    {[[2, 0], [1, 1], [3, 0]], [[2, 0], [1, 0], [3, 0]], %1},

    {[[2, 1], [1, 0], [3, 0]], [[2, 0], [1, 0], [3, 0]], %1}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 0]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 0], [2, 1], [3, 0]],

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 0]]}, {

    [[3, 0], [2, 1], [1, 0]], [[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 0]]}}

the member , {[[1, 0], [2, 1], [3, 0]], [[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 0], [3, 1]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 0]],

    [[2, 0], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 0], [3, 1]]}, has a scheme of depth , 3

                                  here it is:

{[[1], {}, {}, {}], [[], {}, {}, {}], [[3, 1, 2], {[0, 0, 0, 0]}, {1}, {}],

    [[2, 1, 3], {[1, 0, 0, 0], [0, 1, 0, 0]}, {1}, {}],

    [[1, 2], {[1, 0, 0]}, {1}, {}],

    [[3, 2, 1], {[0, 1, 0, 0], [0, 0, 1, 0]}, {2}, {3}],

    [[2, 1], {[0, 1, 0]}, {}, {2}]}

     Naively, we would expect the sequence to begin , 1, 1, 1, 2, 4, 8, 16

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384,

    32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608,

    16777216, 33554432, 67108864, 134217728, 268435456]

For the equivalence class of patterns, {{[[3, 1], [2, 0], [1, 0]],

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 1]], [[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 0]]}}

the member , {[[3, 1], [2, 0], [1, 0]], [[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[3, 0], [2, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 0]]}, {

    [[1, 0], [2, 1], [3, 0]], [[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 0]]}}

the member , {[[3, 0], [2, 1], [1, 0]], [[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], %1, [[2, 0], [3, 0], [1, 1]]},

    {[[1, 0], [3, 0], [2, 0]], %1, [[3, 1], [1, 0], [2, 0]]},

    {%2, [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 0]]},

    {%2, [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 0], [3, 1]]},

    {%2, [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 0]]},

    {%2, [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 0], [3, 1]]},

    {[[2, 0], [1, 0], [3, 0]], %1, [[2, 0], [3, 0], [1, 1]]},

    {[[2, 0], [1, 0], [3, 0]], %1, [[3, 1], [1, 0], [2, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]],

    [[2, 0], [3, 0], [1, 1]]}, has a scheme of depth , 3

                                  here it is:

{[[], {}, {}, {}], [[2, 1], {[0, 1, 1], [0, 0, 2], [0, 2, 0]}, {1}, {}],

    [[1, 2, 3], {[0, 0, 0, 0]}, {1}, {}], [[1, 3, 2], {[0, 0, 0, 0]}, {1}, {}],

    [[1], {[0, 2]}, {}, {}],

    [[2, 3, 1], {[0, 2, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]}, {1}, {}],

    [[1, 2], {[0, 1, 0], [0, 0, 1]}, {}, {2}]}

     Naively, we would expect the sequence to begin , 1, 1, 1, 2, 4, 8, 16

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384,

    32768, 65536, 131072, 262144, 524288, 1048576, 2097152, 4194304, 8388608,

    16777216, 33554432, 67108864, 134217728, 268435456]

                         Out of a total of , 45, cases

                      45, were successful and , 0, failed

                               Success Rate: , 1.

                             Here are the failures

                                       {}

                                       {}

             "for patterns of lengths: ", [[3, 0], [3, 0], [3, 2]]

             There all together, 45, different equivalence classes

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], %1, [[1, 1], [3, 1], [2, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %1, [[1, 1], [3, 0], [2, 1]]},

    {%2, [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]]},

    {%2, [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 1]]},

    {%2, [[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]]},

    {%2, [[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [1, 0], [3, 0]], %1, [[2, 0], [1, 1], [3, 1]]},

    {[[2, 0], [1, 0], [3, 0]], %1, [[2, 1], [1, 0], [3, 1]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]],

    [[1, 1], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], %1, [[2, 0], [1, 1], [3, 1]]},

    {[[1, 0], [3, 0], [2, 0]], %1, [[2, 1], [1, 0], [3, 1]]},

    {%2, [[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]]},

    {%2, [[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]]},

    {%2, [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]]},

    {%2, [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]]},

    {[[2, 0], [1, 0], [3, 0]], %1, [[1, 1], [3, 0], [2, 1]]},

    {[[2, 0], [1, 0], [3, 0]], %1, [[1, 1], [3, 1], [2, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 0], [3, 0]],

    [[2, 1], [1, 1], [3, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]],

    [[2, 1], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], %1, [[2, 0], [3, 1], [1, 1]]},

    {[[1, 0], [3, 0], [2, 0]], %1, [[3, 1], [1, 0], [2, 1]]},

    {%2, [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]]},

    {%2, [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]]},

    {%2, [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]]},

    {%2, [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]]},

    {[[2, 0], [1, 0], [3, 0]], %1, [[2, 1], [3, 0], [1, 1]]},

    {[[2, 0], [1, 0], [3, 0]], %1, [[3, 1], [1, 1], [2, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], %1, [[2, 1], [3, 0], [1, 1]]},

    {[[1, 0], [3, 0], [2, 0]], %1, [[3, 1], [1, 1], [2, 0]]},

    {%2, [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]]},

    {%2, [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]]},

    {%2, [[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]]},

    {%2, [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]]},

    {[[2, 0], [1, 0], [3, 0]], %1, [[2, 0], [3, 1], [1, 1]]},

    {[[2, 0], [1, 0], [3, 0]], %1, [[3, 1], [1, 0], [2, 1]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], %1, [[3, 0], [1, 1], [2, 1]]},

    {[[1, 0], [3, 0], [2, 0]], %1, [[2, 1], [3, 1], [1, 0]]},

    {%2, [[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]]},

    {%2, [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]]},

    {%2, [[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]]},

    {%2, [[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]]},

    {[[2, 0], [1, 0], [3, 0]], %1, [[2, 1], [3, 1], [1, 0]]},

    {[[2, 0], [1, 0], [3, 0]], %1, [[3, 0], [1, 1], [2, 1]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %1, [[3, 0], [2, 1], [1, 1]]},

    {%2, [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]]},

    {%2, [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]]},

    {%2, [[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]]},

    {%2, [[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]]},

    {[[2, 0], [1, 0], [3, 0]], %1, [[3, 0], [2, 1], [1, 1]]},

    {[[2, 0], [1, 0], [3, 0]], %1, [[3, 1], [2, 1], [1, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [3, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 0]],

    [[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%2, %1, [[1, 1], [2, 1], [3, 0]]},

    {%2, %1, [[1, 0], [2, 1], [3, 1]]}, {%2, %1, [[3, 1], [2, 1], [1, 0]]},

    {%2, %1, [[3, 0], [2, 1], [1, 1]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 1]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%2, %1, [[2, 0], [1, 1], [3, 1]]},

    {%2, %1, [[2, 1], [1, 0], [3, 1]]}, {%2, %1, [[1, 1], [3, 0], [2, 1]]},

    {%2, %1, [[1, 1], [3, 1], [2, 0]]}, {%2, %1, [[2, 0], [3, 1], [1, 1]]},

    {%2, %1, [[2, 1], [3, 0], [1, 1]]}, {%2, %1, [[3, 1], [1, 0], [2, 1]]},

    {%2, %1, [[3, 1], [1, 1], [2, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%2, %1, [[1, 0], [3, 1], [2, 1]]},

    {%2, %1, [[2, 1], [1, 1], [3, 0]]}, {%2, %1, [[2, 1], [3, 1], [1, 0]]},

    {%2, %1, [[3, 0], [1, 1], [2, 1]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]]},

    {%2, [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]]},

    {%2, [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]]},

    {%2, [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[2, 0], [3, 1], [1, 1]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[2, 1], [3, 0], [1, 1]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[3, 1], [1, 1], [2, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [1, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]]},

    {%2, [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]]},

    {%2, [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]]},

    {%2, [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[3, 1], [1, 0], [2, 1]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[2, 1], [3, 0], [1, 1]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[2, 0], [3, 1], [1, 1]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]]},

    {%2, [[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]]},

    {%2, [[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]]},

    {%2, [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[2, 0], [1, 1], [3, 1]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[1, 1], [3, 0], [2, 1]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[2, 1], [1, 0], [3, 1]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[1, 1], [3, 1], [2, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]]},

    {%2, [[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]]},

    {%2, [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]]},

    {%2, [[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[2, 1], [1, 0], [3, 1]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[1, 1], [3, 1], [2, 0]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[2, 0], [1, 1], [3, 1]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[1, 1], [3, 0], [2, 1]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 0], [3, 0]],

    [[2, 1], [3, 1], [1, 0]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [1, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]]},

    {%2, [[1, 0], [3, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]]},

    {%2, [[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]]},

    {%2, [[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[1, 1], [2, 1], [3, 0]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[1, 0], [2, 1], [3, 1]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[1, 0], [2, 1], [3, 1]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[1, 1], [2, 1], [3, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]]},

    {%2, [[1, 0], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]]},

    {%2, [[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]]},

    {%2, [[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[1, 0], [3, 1], [2, 1]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[2, 1], [1, 1], [3, 0]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[1, 0], [3, 1], [2, 1]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[2, 1], [1, 1], [3, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%6, %4, %5}, {%6, %4, %1},

    {%6, %2, %5}, {%6, %2, %1}, {%3, %4, %5}, {%3, %2, %5}, {%3, %4, %1},

    {%3, %2, %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[2, 0], [1, 0], [3, 0]]

%3 := [[2, 0], [3, 0], [1, 0]]

%4 := [[1, 0], [3, 0], [2, 0]]

%5 := [[1, 1], [2, 0], [3, 1]]

%6 := [[3, 0], [1, 0], [2, 0]]

the member , {[[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[1, 1], [2, 1], [3, 0]]},

    {%4, %3, [[3, 1], [2, 1], [1, 0]]}, {%4, %1, [[1, 0], [2, 1], [3, 1]]},

    {%4, %1, [[3, 1], [2, 1], [1, 0]]}, {%2, %3, [[1, 1], [2, 1], [3, 0]]},

    {%2, %1, [[1, 0], [2, 1], [3, 1]]}, {%2, %3, [[3, 0], [2, 1], [1, 1]]},

    {%2, %1, [[3, 0], [2, 1], [1, 1]]}}

%1 := [[2, 0], [1, 0], [3, 0]]

%2 := [[2, 0], [3, 0], [1, 0]]

%3 := [[1, 0], [3, 0], [2, 0]]

%4 := [[3, 0], [1, 0], [2, 0]]

the member , {[[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[1, 0], [2, 1], [3, 1]]},

    {%4, %1, [[1, 1], [2, 1], [3, 0]]}, {%4, %3, [[3, 0], [2, 1], [1, 1]]},

    {%4, %1, [[3, 0], [2, 1], [1, 1]]}, {%2, %3, [[1, 0], [2, 1], [3, 1]]},

    {%2, %3, [[3, 1], [2, 1], [1, 0]]}, {%2, %1, [[1, 1], [2, 1], [3, 0]]},

    {%2, %1, [[3, 1], [2, 1], [1, 0]]}}

%1 := [[2, 0], [1, 0], [3, 0]]

%2 := [[2, 0], [3, 0], [1, 0]]

%3 := [[1, 0], [3, 0], [2, 0]]

%4 := [[3, 0], [1, 0], [2, 0]]

the member , {[[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[2, 1], [3, 0], [1, 1]]},

    {%4, %3, [[2, 1], [1, 0], [3, 1]]}, {%4, %1, [[2, 0], [3, 1], [1, 1]]},

    {%4, %1, [[1, 1], [3, 1], [2, 0]]}, {%2, %3, [[2, 0], [1, 1], [3, 1]]},

    {%2, %3, [[3, 1], [1, 1], [2, 0]]}, {%2, %1, [[1, 1], [3, 0], [2, 1]]},

    {%2, %1, [[3, 1], [1, 0], [2, 1]]}}

%1 := [[2, 0], [1, 0], [3, 0]]

%2 := [[2, 0], [3, 0], [1, 0]]

%3 := [[1, 0], [3, 0], [2, 0]]

%4 := [[3, 0], [1, 0], [2, 0]]

the member , {[[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[1, 0], [3, 1], [2, 1]]},

    {%4, %3, [[3, 0], [1, 1], [2, 1]]}, {%4, %1, [[2, 1], [1, 1], [3, 0]]},

    {%4, %1, [[3, 0], [1, 1], [2, 1]]}, {%2, %3, [[1, 0], [3, 1], [2, 1]]},

    {%2, %3, [[2, 1], [3, 1], [1, 0]]}, {%2, %1, [[2, 1], [1, 1], [3, 0]]},

    {%2, %1, [[2, 1], [3, 1], [1, 0]]}}

%1 := [[2, 0], [1, 0], [3, 0]]

%2 := [[2, 0], [3, 0], [1, 0]]

%3 := [[1, 0], [3, 0], [2, 0]]

%4 := [[3, 0], [1, 0], [2, 0]]

the member , {[[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[1, 1], [3, 0], [2, 1]]},

    {%4, %3, [[3, 1], [1, 0], [2, 1]]}, {%4, %1, [[2, 0], [1, 1], [3, 1]]},

    {%4, %1, [[3, 1], [1, 1], [2, 0]]}, {%2, %3, [[1, 1], [3, 1], [2, 0]]},

    {%2, %3, [[2, 0], [3, 1], [1, 1]]}, {%2, %1, [[2, 1], [1, 0], [3, 1]]},

    {%2, %1, [[2, 1], [3, 0], [1, 1]]}}

%1 := [[2, 0], [1, 0], [3, 0]]

%2 := [[2, 0], [3, 0], [1, 0]]

%3 := [[1, 0], [3, 0], [2, 0]]

%4 := [[3, 0], [1, 0], [2, 0]]

the member , {[[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[1, 1], [3, 1], [2, 0]]},

    {%4, %3, [[3, 1], [1, 1], [2, 0]]}, {%4, %1, [[2, 1], [1, 0], [3, 1]]},

    {%4, %1, [[3, 1], [1, 0], [2, 1]]}, {%2, %3, [[1, 1], [3, 0], [2, 1]]},

    {%2, %3, [[2, 1], [3, 0], [1, 1]]}, {%2, %1, [[2, 0], [1, 1], [3, 1]]},

    {%2, %1, [[2, 0], [3, 1], [1, 1]]}}

%1 := [[2, 0], [1, 0], [3, 0]]

%2 := [[2, 0], [3, 0], [1, 0]]

%3 := [[1, 0], [3, 0], [2, 0]]

%4 := [[3, 0], [1, 0], [2, 0]]

the member , {[[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[2, 0], [1, 1], [3, 1]]},

    {%4, %3, [[2, 0], [3, 1], [1, 1]]}, {%4, %1, [[2, 1], [3, 0], [1, 1]]},

    {%4, %1, [[1, 1], [3, 0], [2, 1]]}, {%2, %3, [[2, 1], [1, 0], [3, 1]]},

    {%2, %3, [[3, 1], [1, 0], [2, 1]]}, {%2, %1, [[1, 1], [3, 1], [2, 0]]},

    {%2, %1, [[3, 1], [1, 1], [2, 0]]}}

%1 := [[2, 0], [1, 0], [3, 0]]

%2 := [[2, 0], [3, 0], [1, 0]]

%3 := [[1, 0], [3, 0], [2, 0]]

%4 := [[3, 0], [1, 0], [2, 0]]

the member , {[[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[2, 1], [1, 1], [3, 0]]},

    {%4, %3, [[2, 1], [3, 1], [1, 0]]}, {%4, %1, [[1, 0], [3, 1], [2, 1]]},

    {%4, %1, [[2, 1], [3, 1], [1, 0]]}, {%2, %3, [[3, 0], [1, 1], [2, 1]]},

    {%2, %3, [[2, 1], [1, 1], [3, 0]]}, {%2, %1, [[1, 0], [3, 1], [2, 1]]},

    {%2, %1, [[3, 0], [1, 1], [2, 1]]}}

%1 := [[2, 0], [1, 0], [3, 0]]

%2 := [[2, 0], [3, 0], [1, 0]]

%3 := [[1, 0], [3, 0], [2, 0]]

%4 := [[3, 0], [1, 0], [2, 0]]

the member , {[[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[2, 0], [1, 1], [3, 1]]},

    {%4, %3, [[2, 1], [1, 0], [3, 1]]}, {%4, %3, [[1, 1], [3, 0], [2, 1]]},

    {%4, %3, [[1, 1], [3, 1], [2, 0]]}, {%2, %1, [[2, 0], [3, 1], [1, 1]]},

    {%2, %1, [[2, 1], [3, 0], [1, 1]]}, {%2, %1, [[3, 1], [1, 0], [2, 1]]},

    {%2, %1, [[3, 1], [1, 1], [2, 0]]}}

%1 := [[1, 0], [3, 0], [2, 0]]

%2 := [[2, 0], [1, 0], [3, 0]]

%3 := [[2, 0], [3, 0], [1, 0]]

%4 := [[3, 0], [1, 0], [2, 0]]

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 1], [3, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[2, 0], [3, 1], [1, 1]]},

    {%4, %3, [[2, 1], [3, 0], [1, 1]]}, {%4, %3, [[3, 1], [1, 0], [2, 1]]},

    {%4, %3, [[3, 1], [1, 1], [2, 0]]}, {%2, %1, [[1, 1], [3, 0], [2, 1]]},

    {%2, %1, [[1, 1], [3, 1], [2, 0]]}, {%2, %1, [[2, 0], [1, 1], [3, 1]]},

    {%2, %1, [[2, 1], [1, 0], [3, 1]]}}

%1 := [[1, 0], [3, 0], [2, 0]]

%2 := [[2, 0], [1, 0], [3, 0]]

%3 := [[2, 0], [3, 0], [1, 0]]

%4 := [[3, 0], [1, 0], [2, 0]]

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [3, 0], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

                         Out of a total of , 45, cases

                      45, were successful and , 0, failed

                               Success Rate: , 1.

                             Here are the failures

                                       {}

                                       {}

             "for patterns of lengths: ", [[3, 0], [3, 1], [3, 1]]

            There all together, 138, different equivalence classes

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {%1, [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 0]]},

    {%1, [[2, 1], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 0]]},

    {%2, [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 0]]},

    {%1, [[2, 0], [3, 1], [1, 0]], [[2, 0], [1, 0], [3, 1]]},

    {%2, [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {%1, [[3, 0], [2, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[3, 0], [2, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[2, 1], [1, 0], [3, 0]], [[1, 1], [2, 0], [3, 0]]},

    {%2, [[2, 0], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]]},

    {%2, [[1, 0], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]]},

    {%2, [[1, 0], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]},

    {%1, [[2, 1], [3, 0], [1, 0]], [[3, 1], [2, 0], [1, 0]]},

    {%1, [[2, 0], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 2]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 2]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[1, 1], [3, 0], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[2, 0], [1, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {%2, [[2, 1], [3, 0], [1, 0]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[2, 1], [3, 0], [1, 0]], [[1, 0], [3, 0], [2, 1]]},

    {%1, [[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[2, 0], [3, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]]},

    {%2, [[2, 0], [3, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [3, 0], [1, 0]], [[1, 1], [2, 0], [3, 0]]},

    {%2, [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[2, 0], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]]},

    {%2, [[1, 0], [2, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[1, 0], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[2, 0], [1, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[1, 0], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]]},

    {%1, [[2, 1], [1, 0], [3, 0]], [[3, 1], [2, 0], [1, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%2, %1, [[3, 0], [1, 1], [2, 0]]},

    {%2, %1, [[3, 0], [1, 0], [2, 1]]}, {%4, [[1, 0], [3, 1], [2, 0]], %3},

    {%4, [[1, 0], [3, 0], [2, 1]], %3}, {%4, [[2, 1], [1, 0], [3, 0]], %3},

    {%4, [[2, 0], [1, 1], [3, 0]], %3}, {%2, [[2, 1], [3, 0], [1, 0]], %1},

    {%2, [[2, 0], [3, 1], [1, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

%3 := [[1, 0], [2, 1], [3, 0]]

%4 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 2]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]},

    {%2, [[1, 1], [2, 0], [3, 0]], [[3, 1], [1, 0], [2, 0]]},

    {%2, [[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]]},

    {%1, [[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]]},

    {%2, [[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 0], [2, 0]]},

    {%1, [[1, 1], [3, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]]},

    {%1, [[2, 0], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{%6, %4, %5}, {%6, %2, %5},

    {%6, %4, %1}, {%6, %2, %1}, {%3, %4, %5}, {%3, %2, %5}, {%3, %4, %1},

    {%3, %2, %1}}

%1 := [[3, 1], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 1]]

%3 := [[3, 0], [2, 0], [1, 0]]

%4 := [[1, 1], [2, 0], [3, 0]]

%5 := [[3, 0], [2, 0], [1, 1]]

%6 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 0], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [3, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[1, 0], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[2, 0], [1, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]]},

    {%2, [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[2, 1], [3, 0], [1, 0]], [[1, 1], [2, 0], [3, 0]]},

    {%2, [[2, 0], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]]},

    {%1, [[1, 0], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]]},

    {%2, [[1, 0], [2, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[2, 1], [1, 0], [3, 0]], [[3, 1], [2, 0], [1, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]], %2},

    {[[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]], %2},

    {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]], %1},

    {[[1, 0], [3, 0], [2, 0]], %1, [[3, 0], [1, 0], [2, 1]]},

    {[[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]], %1},

    {[[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]], %2},

    {[[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]], %2},

    {[[2, 0], [1, 0], [3, 0]], %1, [[3, 0], [1, 1], [2, 0]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[1, 1], [3, 0], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {%2, [[3, 1], [2, 0], [1, 0]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[3, 1], [2, 0], [1, 0]], [[3, 0], [1, 0], [2, 1]]},

    {%2, [[2, 1], [3, 0], [1, 0]], [[3, 0], [2, 0], [1, 1]]},

    {%2, [[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[1, 0], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]]},

    {%1, [[1, 0], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]]},

    {%1, [[2, 1], [1, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]]},

    {%1, [[2, 0], [1, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 2]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, [[1, 0], [3, 1], [2, 0]], %3},

    {%4, [[1, 0], [3, 0], [2, 1]], %3}, {%4, [[2, 1], [1, 0], [3, 0]], %3},

    {%4, [[2, 0], [1, 1], [3, 0]], %3}, {%2, [[2, 1], [3, 0], [1, 0]], %1},

    {%2, [[2, 0], [3, 1], [1, 0]], %1}, {%2, %1, [[3, 0], [1, 1], [2, 0]]},

    {%2, %1, [[3, 0], [1, 0], [2, 1]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

%3 := [[1, 0], [2, 1], [3, 0]]

%4 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {%2, [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]]},

    {%2, [[2, 0], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]]},

    {%2, [[2, 1], [3, 0], [1, 0]], [[1, 0], [2, 0], [3, 1]]},

    {%1, [[1, 0], [3, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 0], [1, 1]]},

    {%2, [[1, 0], [2, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[1, 0], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]},

    {%1, [[2, 0], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, [[2, 1], [3, 0], [1, 0]], %3},

    {%4, [[2, 0], [3, 1], [1, 0]], %3}, {%4, %3, [[3, 0], [1, 1], [2, 0]]},

    {%4, %3, [[3, 0], [1, 0], [2, 1]]}, {%2, [[1, 0], [3, 1], [2, 0]], %1},

    {%2, [[2, 1], [1, 0], [3, 0]], %1}, {%2, [[1, 0], [3, 0], [2, 1]], %1},

    {%2, [[2, 0], [1, 1], [3, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

%3 := [[1, 0], [2, 1], [3, 0]]

%4 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 1], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 0]], %1},

    {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]], %2},

    {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]], %2},

    {[[3, 0], [1, 0], [2, 0]], %1, [[3, 0], [1, 1], [2, 0]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[3, 0], [1, 0], [2, 1]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {%1, [[2, 0], [3, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]]},

    {%1, [[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]},

    {%2, [[2, 1], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]]},

    {%1, [[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[2, 0], [3, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]]},

    {%2, [[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[2, 1], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[1, 1], [3, 0], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 1], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[1, 1], [3, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 0]],

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 1], [3, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 0]]}, {[[1, 0], [2, 0], [3, 0]],

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[2, 0], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 0], [2, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 2]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]], %1},

    {[[2, 0], [3, 0], [1, 0]], %2, [[3, 0], [1, 0], [2, 1]]},

    {[[2, 0], [3, 0], [1, 0]], %2, [[3, 0], [1, 1], [2, 0]]},

    {[[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]], %1},

    {[[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]], %1},

    {[[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]], %2},

    {[[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]], %2},

    {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{%4, [[2, 1], [3, 0], [1, 0]], %3},

    {%4, [[2, 0], [3, 1], [1, 0]], %3}, {%4, %3, [[3, 0], [1, 1], [2, 0]]},

    {%4, %3, [[3, 0], [1, 0], [2, 1]]}, {%2, [[1, 0], [3, 1], [2, 0]], %1},

    {%2, [[1, 0], [3, 0], [2, 1]], %1}, {%2, [[2, 1], [1, 0], [3, 0]], %1},

    {%2, [[2, 0], [1, 1], [3, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

%3 := [[1, 0], [2, 1], [3, 0]]

%4 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[2, 1], [3, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [3, 1], [2, 0]], [[1, 1], [3, 0], [2, 0]]},

    {%2, [[1, 0], [3, 0], [2, 1]], [[1, 1], [3, 0], [2, 0]]},

    {%2, [[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]},

    {%2, [[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]},

    {%1, [[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%1, [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 0]]},

    {%1, [[3, 0], [1, 1], [2, 0]], [[3, 1], [1, 0], [2, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 0]],

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 0]]}, {[[1, 0], [2, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 1], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 0], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[2, 0], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[2, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {%2, [[1, 0], [3, 1], [2, 0]], [[1, 1], [3, 0], [2, 0]]},

    {%2, [[1, 0], [3, 0], [2, 1]], [[1, 1], [3, 0], [2, 0]]},

    {%2, [[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]},

    {%2, [[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]},

    {%1, [[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%1, [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 0]]},

    {%1, [[3, 0], [1, 1], [2, 0]], [[3, 1], [1, 0], [2, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [2, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 2]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 0]]},

    {%2, [[2, 0], [1, 1], [3, 0]], [[1, 1], [3, 0], [2, 0]]},

    {%2, [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%1, [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 0]]},

    {%1, [[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]], %1},

    {[[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]], %1},

    {[[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]], %1},

    {[[2, 0], [3, 0], [1, 0]], %2, [[3, 0], [1, 0], [2, 1]]},

    {[[2, 0], [3, 0], [1, 0]], %2, [[3, 0], [1, 1], [2, 0]]},

    {[[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]], %2},

    {[[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]], %2},

    {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 0]]},

    {%2, [[2, 0], [1, 1], [3, 0]], [[1, 1], [3, 0], [2, 0]]},

    {%2, [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%1, [[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 0]]},

    {%1, [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 0]]},

    {%1, [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 0], [1, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [3, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 0], [3, 1]], %2},

    {[[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 0], [3, 0]], %2},

    {[[1, 0], [3, 0], [2, 0]], %1, [[3, 1], [2, 0], [1, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %1, [[3, 0], [2, 0], [1, 1]]},

    {[[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]], %2},

    {[[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]], %2},

    {[[2, 0], [1, 0], [3, 0]], %1, [[3, 1], [2, 0], [1, 0]]},

    {[[2, 0], [1, 0], [3, 0]], %1, [[3, 0], [2, 0], [1, 1]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]], %2},

    {[[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 0], [2, 1]], %2},

    {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]], %1},

    {[[1, 0], [3, 0], [2, 0]], %1, [[3, 0], [1, 1], [2, 0]]},

    {[[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]], %1},

    {[[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]], %2},

    {[[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]], %2},

    {[[2, 0], [1, 0], [3, 0]], %1, [[3, 0], [1, 0], [2, 1]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[2, 1], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 0]]},

    {%1, [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 0]]},

    {%2, [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]]},

    {%2, [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 0]]},

    {%1, [[2, 0], [3, 1], [1, 0]], [[2, 0], [1, 0], [3, 1]]},

    {%1, [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 2]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]], %2},

    {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]], %2},

    {[[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 0]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]], %1},

    {[[3, 0], [1, 0], [2, 0]], %1, [[3, 0], [1, 1], [2, 0]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[3, 0], [1, 0], [2, 1]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[2, 0], [3, 1], [1, 0]], [[1, 1], [3, 0], [2, 0]]},

    {%1, [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]]},

    {%2, [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]]},

    {%2, [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 0]]},

    {%2, [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 0]]},

    {%1, [[2, 1], [3, 0], [1, 0]], [[2, 0], [1, 0], [3, 1]]},

    {%1, [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 2]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]], %2, %1},

    {[[1, 0], [3, 0], [2, 0]], %2, %1}, {[[3, 0], [1, 0], [2, 0]], %2, %1},

    {[[2, 0], [1, 0], [3, 0]], %2, %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%3, %4, %6}, {%3, %6, %1},

    {%5, %4, %6}, {%5, %6, %1}, {%5, %4, %2}, {%5, %2, %1}, {%3, %4, %2},

    {%3, %2, %1}}

%1 := [[3, 1], [1, 0], [2, 0]]

%2 := [[2, 0], [1, 0], [3, 1]]

%3 := [[1, 0], [2, 0], [3, 0]]

%4 := [[2, 0], [3, 0], [1, 1]]

%5 := [[3, 0], [2, 0], [1, 0]]

%6 := [[1, 1], [3, 0], [2, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [2, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[2, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [2, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 1]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[2, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[1, 1], [3, 0], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [1, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[2, 0], [1, 0], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 0]],

    [[1, 1], [3, 0], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]]},

    {%2, [[1, 1], [2, 0], [3, 0]], [[3, 1], [1, 0], [2, 0]]},

    {%2, [[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]},

    {%2, [[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]]},

    {%1, [[1, 1], [3, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]]},

    {%2, [[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 0], [2, 0]]},

    {%1, [[2, 0], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [1, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 2]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [2, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 1], [3, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]]},

    {%2, [[1, 0], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]]},

    {%2, [[2, 1], [1, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]]},

    {%2, [[2, 0], [1, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]]},

    {%1, [[2, 1], [3, 0], [1, 0]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[3, 1], [2, 0], [1, 0]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[3, 1], [2, 0], [1, 0]], [[3, 0], [1, 0], [2, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]], %2, %4},

    {[[1, 0], [3, 0], [2, 0]], %1, %3}, {[[1, 0], [3, 0], [2, 0]], %2, %1},

    {[[2, 0], [3, 0], [1, 0]], %1, %3}, {[[2, 0], [1, 0], [3, 0]], %4, %3},

    {[[3, 0], [1, 0], [2, 0]], %2, %4}, {[[2, 0], [3, 0], [1, 0]], %4, %3},

    {[[3, 0], [1, 0], [2, 0]], %2, %1}}

%1 := [[2, 0], [1, 0], [3, 1]]

%2 := [[2, 0], [3, 0], [1, 1]]

%3 := [[3, 1], [1, 0], [2, 0]]

%4 := [[1, 1], [3, 0], [2, 0]]

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]], %4, %2},

    {[[2, 0], [1, 0], [3, 0]], %2, %1}, {[[2, 0], [3, 0], [1, 0]], %4, %2},

    {[[1, 0], [3, 0], [2, 0]], %3, %1}, {[[1, 0], [3, 0], [2, 0]], %4, %3},

    {[[2, 0], [3, 0], [1, 0]], %4, %3}, {[[3, 0], [1, 0], [2, 0]], %3, %1},

    {[[3, 0], [1, 0], [2, 0]], %2, %1}}

%1 := [[3, 1], [1, 0], [2, 0]]

%2 := [[2, 0], [1, 0], [3, 1]]

%3 := [[1, 1], [3, 0], [2, 0]]

%4 := [[2, 0], [3, 0], [1, 1]]

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[2, 0], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]], [[2, 0], [1, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[1, 1], [3, 0], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]], %2, %1},

    {[[2, 0], [3, 0], [1, 0]], %4, %1}, {[[1, 0], [3, 0], [2, 0]], %4, %3},

    {[[1, 0], [3, 0], [2, 0]], %4, %1}, {[[3, 0], [1, 0], [2, 0]], %4, %3},

    {[[3, 0], [1, 0], [2, 0]], %2, %3}, {[[2, 0], [1, 0], [3, 0]], %2, %3},

    {[[2, 0], [1, 0], [3, 0]], %2, %1}}

%1 := [[3, 0], [2, 0], [1, 1]]

%2 := [[1, 0], [2, 0], [3, 1]]

%3 := [[3, 1], [2, 0], [1, 0]]

%4 := [[1, 1], [2, 0], [3, 0]]

the member , {[[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [1, 0], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[1, 1], [3, 0], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {%2, [[2, 1], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[2, 0], [3, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]]},

    {%1, [[2, 0], [3, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]},

    {%2, [[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[2, 1], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]], %1},

    {[[1, 0], [3, 0], [2, 0]], %1, [[3, 0], [1, 0], [2, 1]]},

    {[[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]], %2},

    {[[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]], %2},

    {[[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]], %2},

    {[[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]], %2},

    {[[2, 0], [1, 0], [3, 0]], %1, [[3, 0], [1, 1], [2, 0]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[1, 1], [3, 0], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]], %2},

    {[[1, 0], [3, 0], [2, 0]], %2, [[3, 1], [1, 0], [2, 0]]},

    {[[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 0], [1, 1]], %2},

    {[[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 0], [3, 1]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 0]], %1},

    {[[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 0], [3, 1]], %1},

    {[[2, 0], [1, 0], [3, 0]], %2, [[3, 1], [1, 0], [2, 0]]},

    {[[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 0]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 0], [3, 1]], %2},

    {[[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 0]], %2},

    {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]], %1},

    {[[1, 0], [3, 0], [2, 0]], %1, [[3, 1], [1, 0], [2, 0]]},

    {[[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 0], [1, 1]], %1},

    {[[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 0]], %2},

    {[[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 0], [3, 1]], %2},

    {[[2, 0], [1, 0], [3, 0]], %1, [[3, 1], [1, 0], [2, 0]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 2]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {%1, [[2, 0], [3, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]]},

    {%1, [[2, 1], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]]},

    {%1, [[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]]},

    {%2, [[2, 0], [3, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[2, 1], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]]},

    {%2, [[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]]},

    {%2, [[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 0]], %2, [[1, 1], [2, 0], [3, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %1, [[3, 1], [2, 0], [1, 0]]},

    {[[1, 0], [3, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 0], [3, 1]], %2},

    {[[3, 0], [1, 0], [2, 0]], %2, [[1, 1], [2, 0], [3, 0]]},

    {[[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]], %2},

    {[[2, 0], [1, 0], [3, 0]], %1, [[3, 1], [2, 0], [1, 0]]},

    {[[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 0], [1, 1]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [2, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {%2, [[2, 1], [1, 0], [3, 0]], [[1, 1], [2, 0], [3, 0]]},

    {%2, [[2, 0], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]]},

    {%1, [[3, 0], [2, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[3, 0], [2, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]]},

    {%2, [[1, 0], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]]},

    {%2, [[1, 0], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]},

    {%1, [[2, 1], [3, 0], [1, 0]], [[3, 1], [2, 0], [1, 0]]},

    {%1, [[2, 0], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {%1, [[1, 0], [3, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 0], [1, 1]]},

    {%2, [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]]},

    {%2, [[2, 0], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]]},

    {%2, [[2, 1], [3, 0], [1, 0]], [[1, 0], [2, 0], [3, 1]]},

    {%2, [[1, 0], [2, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[1, 0], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]},

    {%1, [[2, 0], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[1, 1], [3, 0], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%1, [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[2, 0], [3, 1], [1, 0]], [[1, 1], [3, 0], [2, 0]]},

    {%2, [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]]},

    {%2, [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 0]]},

    {%1, [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 0]]},

    {%1, [[2, 1], [3, 0], [1, 0]], [[2, 0], [1, 0], [3, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[1, 1], [3, 0], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[1, 1], [3, 0], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]], %1},

    {[[1, 0], [3, 0], [2, 0]], %1, [[3, 0], [1, 1], [2, 0]]},

    {[[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]], %2},

    {[[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 0], [2, 1]], %2},

    {[[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]], %2},

    {[[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]], %2},

    {[[2, 0], [1, 0], [3, 0]], %1, [[3, 0], [1, 0], [2, 1]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]], %4, %3},

    {[[2, 0], [3, 0], [1, 0]], %2, %3}, {[[1, 0], [3, 0], [2, 0]], %4, %1},

    {[[2, 0], [3, 0], [1, 0]], %4, %3}, {[[3, 0], [1, 0], [2, 0]], %2, %1},

    {[[3, 0], [1, 0], [2, 0]], %4, %1}, {[[2, 0], [1, 0], [3, 0]], %2, %3},

    {[[2, 0], [1, 0], [3, 0]], %2, %1}}

%1 := [[3, 0], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 0]]

%3 := [[3, 1], [2, 0], [1, 0]]

%4 := [[1, 0], [2, 0], [3, 1]]

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[1, 1], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 0], [2, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

                        Out of a total of , 138, cases

                     135, were successful and , 3, failed

                             Success Rate: , 0.978

                             Here are the failures

{{{[[3, 0], [2, 0], [1, 0]], %2, %1}, {[[1, 0], [2, 0], [3, 0]], %4, %3}}, {

    {[[2, 0], [1, 0], [3, 0]], %2, %1}, {[[1, 0], [3, 0], [2, 0]], %2, %1},

    {[[2, 0], [3, 0], [1, 0]], %4, %3}, {[[3, 0], [1, 0], [2, 0]], %4, %3}}, {

    {[[1, 0], [3, 0], [2, 0]], %4, %3}, {[[2, 0], [1, 0], [3, 0]], %4, %3},

    {[[2, 0], [3, 0], [1, 0]], %2, %1}, {[[3, 0], [1, 0], [2, 0]], %2, %1}}}

%1 := [[1, 1], [3, 0], [2, 0]]

%2 := [[2, 0], [1, 0], [3, 1]]

%3 := [[3, 1], [1, 0], [2, 0]]

%4 := [[2, 0], [3, 0], [1, 1]]

{{{[[3, 0], [2, 0], [1, 0]], %2, %1}, {[[1, 0], [2, 0], [3, 0]], %4, %3}}, {

    {[[2, 0], [1, 0], [3, 0]], %2, %1}, {[[1, 0], [3, 0], [2, 0]], %2, %1},

    {[[2, 0], [3, 0], [1, 0]], %4, %3}, {[[3, 0], [1, 0], [2, 0]], %4, %3}}, {

    {[[1, 0], [3, 0], [2, 0]], %4, %3}, {[[2, 0], [1, 0], [3, 0]], %4, %3},

    {[[2, 0], [3, 0], [1, 0]], %2, %1}, {[[3, 0], [1, 0], [2, 0]], %2, %1}}}

%1 := [[1, 1], [3, 0], [2, 0]]

%2 := [[2, 0], [1, 0], [3, 1]]

%3 := [[3, 1], [1, 0], [2, 0]]

%4 := [[2, 0], [3, 0], [1, 1]]

             "for patterns of lengths: ", [[3, 0], [3, 1], [3, 2]]

            There all together, 280, different equivalence classes

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [1, 0], [3, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 0], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [3, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 0], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]]},

    {%2, [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]},

    {%2, [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]]},

    {%2, [[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]]},

    {%1, [[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]], [[1, 0], [2, 1], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [3, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[2, 1], [3, 1], [1, 0]], [[2, 0], [3, 1], [1, 0]]},

    {%2, [[3, 0], [1, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[3, 0], [1, 1], [2, 1]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%1, [[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%1, [[2, 1], [1, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[2, 1], [1, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 0], [1, 1]]},

    {%2, [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 0], [1, 1]]},

    {%2, [[2, 1], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 0]]},

    {%2, [[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 0], [2, 0]]},

    {%1, [[2, 1], [3, 1], [1, 0]], [[1, 1], [3, 0], [2, 0]]},

    {%1, [[3, 0], [1, 1], [2, 1]], [[1, 1], [3, 0], [2, 0]]},

    {%1, [[3, 0], [1, 1], [2, 1]], [[2, 0], [1, 0], [3, 1]]},

    {%1, [[2, 1], [3, 1], [1, 0]], [[2, 0], [1, 0], [3, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], %2, [[3, 0], [1, 0], [2, 1]]},

    {[[2, 0], [1, 0], [3, 0]], %2, [[2, 0], [3, 1], [1, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[3, 0], [1, 1], [2, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[1, 0], [3, 1], [2, 0]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[2, 0], [1, 1], [3, 0]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[2, 1], [1, 0], [3, 0]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[1, 0], [3, 0], [2, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [1, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]},

    {%2, [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]]},

    {%2, [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 0], [1, 1]]},

    {%2, [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[3, 0], [1, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]]},

    {%1, [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]]},

    {%1, [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]]},

    {%1, [[3, 0], [1, 1], [2, 1]], [[1, 0], [2, 0], [3, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 0], [3, 1], [1, 1]], [[2, 0], [3, 0], [1, 1]]},

    {%2, [[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 0], [1, 1]]},

    {%2, [[3, 1], [1, 1], [2, 0]], [[3, 1], [1, 0], [2, 0]]},

    {%2, [[3, 1], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 0]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[1, 1], [3, 0], [2, 0]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[1, 1], [3, 0], [2, 0]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[2, 0], [1, 0], [3, 1]]},

    {%1, [[2, 1], [1, 0], [3, 1]], [[2, 0], [1, 0], [3, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [3, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [3, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 1], [3, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[3, 0], [2, 1], [1, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%1, [[3, 1], [2, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]]},

    {%1, [[3, 1], [2, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[3, 0], [2, 1], [1, 1]], [[2, 1], [1, 0], [3, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%2, [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%1, [[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%1, [[2, 1], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], %2, [[3, 1], [1, 0], [2, 0]]},

    {[[2, 0], [1, 0], [3, 0]], %2, [[2, 0], [3, 0], [1, 1]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[3, 1], [1, 0], [2, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[2, 0], [3, 0], [1, 1]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[2, 0], [1, 0], [3, 1]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[1, 1], [3, 0], [2, 0]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[1, 1], [3, 0], [2, 0]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[2, 0], [1, 0], [3, 1]]}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[1, 0], [2, 1], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [1, 1], [2, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [1, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]], %2},

    {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]], %2},

    {[[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 1]], %1},

    {[[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]], %1},

    {[[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [1, 0], [2, 0]], %1, [[3, 0], [1, 0], [2, 1]]},

    {[[2, 0], [1, 0], [3, 0]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[2, 0], [1, 0], [3, 0]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[3, 0], [1, 1], [2, 0]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[2, 1], [3, 0], [1, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [1, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]]},

    {%2, [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]]},

    {%2, [[3, 1], [1, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]},

    {%2, [[3, 1], [1, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, [[3, 1], [1, 0], [2, 1]], %3},

    {%4, [[3, 1], [1, 1], [2, 0]], %3}, {%4, [[2, 0], [3, 1], [1, 1]], %3},

    {%4, [[2, 1], [3, 0], [1, 1]], %3}, {%2, [[2, 1], [1, 0], [3, 1]], %1},

    {%2, [[2, 0], [1, 1], [3, 1]], %1}, {%2, [[1, 1], [3, 1], [2, 0]], %1},

    {%2, [[1, 1], [3, 0], [2, 1]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

%3 := [[3, 0], [2, 1], [1, 0]]

%4 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%2, [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[2, 0], [3, 1], [1, 1]], [[2, 1], [1, 0], [3, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[2, 1], [3, 0], [1, 0]]},

    {%4, %3, [[2, 0], [3, 1], [1, 0]]}, {%4, %3, [[3, 0], [1, 1], [2, 0]]},

    {%4, %3, [[3, 0], [1, 0], [2, 1]]}, {%2, %1, [[1, 0], [3, 1], [2, 0]]},

    {%2, %1, [[1, 0], [3, 0], [2, 1]]}, {%2, %1, [[2, 0], [1, 1], [3, 0]]},

    {%2, %1, [[2, 1], [1, 0], [3, 0]]}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[3, 0], [2, 0], [1, 0]]

%3 := [[1, 1], [2, 0], [3, 1]]

%4 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 1], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [2, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [2, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [2, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [3, 0], [1, 1]]}, {

    [[1, 0], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 0], [1, 0], [3, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [1, 0], [3, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]],

    [[2, 0], [3, 0], [1, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [3, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [3, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [2, 1], [1, 0]], [[2, 0], [1, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]],

    [[1, 1], [3, 0], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]],

    [[2, 0], [1, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], %2, [[3, 1], [2, 0], [1, 0]]},

    {[[2, 0], [1, 0], [3, 0]], %2, [[3, 0], [2, 0], [1, 1]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[3, 1], [2, 0], [1, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[3, 0], [2, 0], [1, 1]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[1, 1], [2, 0], [3, 0]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[1, 1], [2, 0], [3, 0]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[1, 0], [2, 0], [3, 1]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[1, 0], [2, 0], [3, 1]]}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 0], [1, 1]]},

    {%2, [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 0], [1, 1]]},

    {%2, [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 0]]},

    {%2, [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 0]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[1, 1], [3, 0], [2, 0]]},

    {%1, [[2, 1], [3, 0], [1, 1]], [[1, 1], [3, 0], [2, 0]]},

    {%1, [[2, 0], [3, 1], [1, 1]], [[2, 0], [1, 0], [3, 1]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[2, 0], [1, 0], [3, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 1], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[3, 1], [1, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[3, 1], [1, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]},

    {%2, [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%1, [[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 0], [3, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[1, 1], [3, 0], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [1, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 0], [1, 1]]},

    {%2, [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 0], [1, 1]]},

    {%2, [[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 0], [2, 0]]},

    {%2, [[1, 1], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 0]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[1, 1], [3, 0], [2, 0]]},

    {%1, [[2, 0], [3, 1], [1, 1]], [[1, 1], [3, 0], [2, 0]]},

    {%1, [[2, 1], [3, 0], [1, 1]], [[2, 0], [1, 0], [3, 1]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[2, 0], [1, 0], [3, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]]},

    {%2, [[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]]},

    {%2, [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]]},

    {%2, [[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]]},

    {%1, [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[3, 0], [1, 1], [2, 1]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[3, 0], [1, 1], [2, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%2, [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]]},

    {%1, [[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]},

    {%1, [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 0]]},

    {%1, [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]},

    {%2, [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%1, [[2, 1], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]},

    {%2, [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[3, 0], [1, 1], [2, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%1, [[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]]},

    {%1, [[2, 1], [3, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[3, 0], [1, 1], [2, 1]], [[2, 1], [1, 0], [3, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [1, 0], [2, 0]], %1, [[3, 0], [1, 1], [2, 0]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[3, 0], [1, 0], [2, 1]]},

    {[[2, 0], [1, 0], [3, 0]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[2, 0], [1, 0], [3, 0]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[2, 0], [3, 1], [1, 0]]}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[2, 0], [1, 0], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [1, 1], [2, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[2, 0], [3, 0], [1, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[2, 0], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[2, 0], [3, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[2, 0], [3, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 0], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [3, 0], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 1], [2, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[3, 1], [1, 1], [2, 0]], [[2, 0], [3, 0], [1, 1]]},

    {%2, [[3, 1], [1, 0], [2, 1]], [[2, 0], [3, 0], [1, 1]]},

    {%2, [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 0], [2, 0]]},

    {%2, [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[1, 1], [3, 0], [2, 0]]},

    {%1, [[2, 1], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 0]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 0], [3, 1]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 0], [3, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[2, 0], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[2, 0], [1, 0], [3, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 1], [2, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 1], [2, 0], [1, 1]],

    [[2, 0], [3, 0], [1, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[3, 1], [1, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[3, 1], [1, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%2, [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], %2, [[3, 0], [1, 1], [2, 0]]},

    {[[2, 0], [1, 0], [3, 0]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[3, 0], [1, 0], [2, 1]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[2, 0], [1, 1], [3, 0]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[2, 1], [1, 0], [3, 0]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[1, 0], [3, 0], [2, 1]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[1, 0], [3, 1], [2, 0]]}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [3, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [3, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]],

    [[1, 1], [3, 0], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]],

    [[2, 0], [1, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]]},

    {%2, [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]]},

    {%2, [[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]]},

    {%2, [[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]]},

    {%1, [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[2, 0], [3, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[2, 0], [3, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [3, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[3, 1], [2, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]]},

    {%1, [[3, 0], [2, 1], [1, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%1, [[3, 1], [2, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]]},

    {%1, [[3, 0], [2, 1], [1, 1]], [[2, 0], [1, 1], [3, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[2, 0], [1, 0], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[1, 1], [3, 0], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 1], [3, 0], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]], [[2, 0], [3, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]], [[2, 0], [3, 0], [1, 1]]}, {

    [[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [1, 0], [3, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[2, 0], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]},

    {%2, [[3, 1], [1, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]]},

    {%2, [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]]},

    {%2, [[3, 1], [1, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%2, [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]]},

    {%1, [[3, 0], [1, 1], [2, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%1, [[2, 1], [3, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]]},

    {%1, [[3, 0], [1, 1], [2, 1]], [[2, 0], [1, 1], [3, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 0], [1, 1]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 0], [1, 1]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 0], [2, 0]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 0]]},

    {%1, [[3, 1], [2, 1], [1, 0]], [[1, 1], [3, 0], [2, 0]]},

    {%1, [[3, 0], [2, 1], [1, 1]], [[1, 1], [3, 0], [2, 0]]},

    {%1, [[3, 1], [2, 1], [1, 0]], [[2, 0], [1, 0], [3, 1]]},

    {%1, [[3, 0], [2, 1], [1, 1]], [[2, 0], [1, 0], [3, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [1, 0], [3, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]],

    [[2, 0], [3, 0], [1, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%2, [[3, 1], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[3, 1], [1, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]},

    {%1, [[2, 1], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]], [[1, 0], [2, 1], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [2, 0], [1, 1]], [[2, 0], [3, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[2, 0], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 0], [3, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [1, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [3, 0], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 0], [1, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]],

    [[2, 0], [1, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]], [[2, 0], [3, 0], [1, 1]]}, {

    [[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 1], [2, 0], [1, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 1], [2, 0], [1, 1]],

    [[2, 0], [1, 0], [3, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[2, 0], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]]},

    {%2, [[3, 1], [1, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]]},

    {%2, [[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]]},

    {%2, [[3, 1], [1, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]]},

    {%1, [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]], [[2, 0], [3, 0], [1, 1]]}, {

    [[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[2, 0], [1, 0], [3, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[2, 0], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]],

    [[2, 0], [1, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[3, 0], [2, 1], [1, 1]], [[2, 0], [1, 0], [3, 1]]},

    {%1, [[3, 1], [2, 1], [1, 0]], [[1, 1], [3, 0], [2, 0]]},

    {%1, [[3, 0], [2, 1], [1, 1]], [[1, 1], [3, 0], [2, 0]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 0], [2, 0]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 0]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 0], [1, 1]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 0], [1, 1]]},

    {%1, [[3, 1], [2, 1], [1, 0]], [[2, 0], [1, 0], [3, 1]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[2, 0], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[3, 0], [1, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]]},

    {%2, [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]]},

    {%2, [[3, 0], [1, 1], [2, 1]], [[1, 0], [2, 0], [3, 1]]},

    {%2, [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]]},

    {%1, [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]},

    {%1, [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[2, 0], [3, 1], [1, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%2, [[3, 1], [1, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[3, 1], [1, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%1, [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 0], [3, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [3, 0], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]], [[2, 0], [3, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 1], [3, 0], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[2, 0], [3, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 0], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[2, 0], [3, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]],

    [[2, 0], [3, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 1], [3, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 0]]},

    {%2, [[2, 0], [1, 1], [3, 1]], [[1, 1], [3, 0], [2, 0]]},

    {%1, [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 0], [2, 0]]},

    {%1, [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]]},

    {%2, [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 0], [3, 1]]},

    {%2, [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 0], [3, 1]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[2, 0], [3, 0], [1, 1]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[2, 0], [3, 0], [1, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[3, 1], [2, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]]},

    {%2, [[3, 0], [2, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]]},

    {%2, [[3, 1], [2, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]]},

    {%2, [[3, 0], [2, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [2, 0], [1, 1]], [[1, 0], [2, 1], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]], [[1, 0], [2, 1], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 1], [3, 1], [2, 0]], [[1, 1], [3, 0], [2, 0]]},

    {%2, [[1, 1], [3, 0], [2, 1]], [[1, 1], [3, 0], [2, 0]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[3, 1], [1, 0], [2, 0]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 0]]},

    {%2, [[2, 1], [1, 0], [3, 1]], [[2, 0], [1, 0], [3, 1]]},

    {%2, [[2, 0], [1, 1], [3, 1]], [[2, 0], [1, 0], [3, 1]]},

    {%1, [[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 0], [1, 1]]},

    {%1, [[2, 0], [3, 1], [1, 1]], [[2, 0], [3, 0], [1, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, [[2, 1], [1, 0], [3, 1]], %3},

    {%4, [[1, 1], [3, 0], [2, 1]], %3}, {%4, [[1, 1], [3, 1], [2, 0]], %3},

    {%4, [[2, 0], [1, 1], [3, 1]], %3}, {%2, [[2, 1], [3, 0], [1, 1]], %1},

    {%2, [[2, 0], [3, 1], [1, 1]], %1}, {%2, [[3, 1], [1, 0], [2, 1]], %1},

    {%2, [[3, 1], [1, 1], [2, 0]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

%3 := [[3, 0], [2, 1], [1, 0]]

%4 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]], [[2, 0], [3, 0], [1, 1]]}, {

    [[1, 0], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [1, 0], [2, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [1, 0], [3, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[2, 0], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 0]]}, {[[1, 0], [2, 0], [3, 0]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [1, 0], [3, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [3, 0], [1, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 0], [3, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 0], [3, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 1], [3, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [1, 0], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[1, 1], [3, 0], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 0], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[3, 0], [2, 1], [1, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%2, [[3, 0], [2, 1], [1, 1]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[3, 1], [2, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[3, 1], [2, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[2, 0], [3, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]],

    [[2, 0], [3, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 0], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [3, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[2, 1], [3, 0], [1, 1]], [[1, 1], [3, 0], [2, 0]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[1, 1], [3, 0], [2, 0]]},

    {%2, [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 0]]},

    {%2, [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 0]]},

    {%2, [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 0], [1, 1]]},

    {%2, [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 0], [1, 1]]},

    {%1, [[2, 0], [3, 1], [1, 1]], [[2, 0], [1, 0], [3, 1]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[2, 0], [1, 0], [3, 1]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 1], [3, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [2, 1], [3, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]], %2},

    {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]], %2},

    {[[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]], %1},

    {[[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]], [[1, 0], [2, 1], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[2, 0], [3, 1], [1, 1]], [[1, 1], [3, 0], [2, 0]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[1, 1], [3, 0], [2, 0]]},

    {%2, [[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 0], [2, 0]]},

    {%2, [[1, 1], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 0]]},

    {%2, [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 0], [1, 1]]},

    {%2, [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 0], [1, 1]]},

    {%1, [[2, 1], [3, 0], [1, 1]], [[2, 0], [1, 0], [3, 1]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[2, 0], [1, 0], [3, 1]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%2, [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]]},

    {%1, [[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%1, [[2, 0], [3, 1], [1, 1]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[2, 0], [1, 0], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]],

    [[1, 1], [3, 0], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [3, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[2, 0], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 0]]}, {[[1, 0], [2, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 0], [3, 0], [1, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], %2, [[3, 1], [1, 0], [2, 0]]},

    {[[2, 0], [1, 0], [3, 0]], %2, [[2, 0], [3, 0], [1, 1]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[3, 1], [1, 0], [2, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[2, 0], [3, 0], [1, 1]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[2, 0], [1, 0], [3, 1]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[2, 0], [1, 0], [3, 1]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[1, 1], [3, 0], [2, 0]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[1, 1], [3, 0], [2, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 1], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[2, 0], [3, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[2, 0], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[2, 1], [3, 1], [1, 0]], [[1, 1], [3, 0], [2, 0]]},

    {%1, [[3, 0], [1, 1], [2, 1]], [[1, 1], [3, 0], [2, 0]]},

    {%2, [[2, 1], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 0]]},

    {%2, [[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 0], [2, 0]]},

    {%2, [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 0], [1, 1]]},

    {%2, [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 0], [1, 1]]},

    {%1, [[3, 0], [1, 1], [2, 1]], [[2, 0], [1, 0], [3, 1]]},

    {%1, [[2, 1], [3, 1], [1, 0]], [[2, 0], [1, 0], [3, 1]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[3, 0], [2, 1], [1, 1]], [[2, 1], [3, 0], [1, 0]]},

    {%1, [[3, 0], [2, 1], [1, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%1, [[3, 1], [2, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[3, 1], [2, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]], %1},

    {[[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 0], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]], [[2, 0], [3, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]],

    [[2, 0], [3, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[1, 0], [3, 1], [2, 0]]},

    {%4, %3, [[1, 0], [3, 0], [2, 1]]}, {%4, %3, [[2, 1], [1, 0], [3, 0]]},

    {%2, %1, [[2, 1], [3, 0], [1, 0]]}, {%4, %3, [[2, 0], [1, 1], [3, 0]]},

    {%2, %1, [[2, 0], [3, 1], [1, 0]]}, {%2, %1, [[3, 0], [1, 1], [2, 0]]},

    {%2, %1, [[3, 0], [1, 0], [2, 1]]}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[3, 0], [2, 0], [1, 0]]

%3 := [[1, 1], [2, 0], [3, 1]]

%4 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]], %1},

    {[[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [2, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [1, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[1, 0], [2, 1], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]},

    {%1, [[3, 1], [2, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[3, 1], [2, 1], [1, 0]], [[2, 0], [3, 1], [1, 0]]},

    {%1, [[3, 0], [2, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[3, 0], [2, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]], [[1, 0], [2, 1], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [2, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]], %2},

    {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]], %2},

    {[[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]], %1},

    {[[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]},

    {%2, [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%1, [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 1]], [[1, 0], [2, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 0], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]], [[1, 0], [2, 1], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[2, 0], [1, 0], [3, 0]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[3, 0], [1, 1], [2, 0]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[3, 0], [1, 0], [2, 1]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[2, 0], [3, 1], [1, 0]]}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, [[2, 0], [1, 1], [3, 1]], %3},

    {%4, [[2, 1], [1, 0], [3, 1]], %3}, {%4, [[1, 1], [3, 1], [2, 0]], %3},

    {%4, [[1, 1], [3, 0], [2, 1]], %3}, {%2, [[2, 1], [3, 0], [1, 1]], %1},

    {%2, [[2, 0], [3, 1], [1, 1]], %1}, {%2, [[3, 1], [1, 1], [2, 0]], %1},

    {%2, [[3, 1], [1, 0], [2, 1]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

%3 := [[1, 0], [2, 1], [3, 0]]

%4 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]},

    {%1, [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [3, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [3, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [1, 0], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [1, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[2, 0], [3, 1], [1, 0]]},

    {%4, %3, [[2, 1], [3, 0], [1, 0]]}, {%4, %3, [[3, 0], [1, 1], [2, 0]]},

    {%4, %3, [[3, 0], [1, 0], [2, 1]]}, {%2, %1, [[1, 0], [3, 1], [2, 0]]},

    {%2, %1, [[2, 0], [1, 1], [3, 0]]}, {%2, %1, [[1, 0], [3, 0], [2, 1]]},

    {%2, %1, [[2, 1], [1, 0], [3, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 0], [2, 0], [1, 0]]

%3 := [[3, 1], [2, 0], [1, 1]]

%4 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]], %2},

    {[[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]], %2},

    {[[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]], %1},

    {[[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]},

    {%2, [[2, 0], [1, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[2, 0], [3, 1], [1, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [2, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[1, 1], [3, 0], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]},

    {%2, [[2, 1], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [2, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [2, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[2, 1], [1, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]},

    {%1, [[2, 1], [3, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[2, 1], [1, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[2, 1], [3, 1], [1, 0]], [[2, 0], [3, 1], [1, 0]]},

    {%1, [[3, 0], [1, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[3, 0], [1, 1], [2, 1]], [[3, 0], [1, 0], [2, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[3, 1], [1, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[2, 0], [3, 1], [1, 1]], [[2, 1], [1, 0], [3, 0]]},

    {%2, [[3, 1], [1, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%1, [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[3, 1], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[2, 1], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]]},

    {%2, [[3, 1], [1, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 0]]},

    {%1, [[3, 0], [1, 1], [2, 1]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[3, 0], [1, 1], [2, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%1, [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[1, 1], [3, 0], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[3, 1], [1, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[3, 1], [1, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]},

    {%2, [[2, 0], [3, 1], [1, 1]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [1, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, [[2, 1], [3, 0], [1, 1]], %3},

    {%4, [[2, 0], [3, 1], [1, 1]], %3}, {%4, [[3, 1], [1, 1], [2, 0]], %3},

    {%4, [[3, 1], [1, 0], [2, 1]], %3}, {%2, [[2, 1], [1, 0], [3, 1]], %1},

    {%2, [[2, 0], [1, 1], [3, 1]], %1}, {%2, [[1, 1], [3, 1], [2, 0]], %1},

    {%2, [[1, 1], [3, 0], [2, 1]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

%3 := [[1, 0], [2, 1], [3, 0]]

%4 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[3, 1], [1, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[3, 1], [1, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]},

    {%2, [[2, 1], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [3, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[3, 1], [2, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[3, 1], [2, 1], [1, 0]], [[2, 0], [3, 1], [1, 0]]},

    {%2, [[3, 0], [2, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%2, [[3, 0], [2, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[3, 0], [1, 1], [2, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[3, 0], [1, 1], [2, 1]], [[2, 1], [1, 0], [3, 0]]},

    {%2, [[2, 1], [3, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]},

    {%1, [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[3, 0], [1, 1], [2, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[2, 1], [3, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]]},

    {%2, [[3, 0], [1, 1], [2, 1]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%1, [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [1, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[3, 1], [2, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[3, 0], [2, 1], [1, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[3, 1], [2, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%2, [[3, 0], [2, 1], [1, 1]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [3, 0], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [1, 0], [3, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 0], [3, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[3, 0], [2, 1], [1, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[3, 1], [2, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[3, 0], [2, 1], [1, 1]], [[2, 1], [1, 0], [3, 0]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]},

    {%2, [[3, 1], [2, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[1, 0], [3, 1], [2, 0]]},

    {%4, %3, [[1, 0], [3, 0], [2, 1]]}, {%4, %3, [[2, 1], [1, 0], [3, 0]]},

    {%2, %1, [[2, 0], [3, 1], [1, 0]]}, {%4, %3, [[2, 0], [1, 1], [3, 0]]},

    {%2, %1, [[3, 0], [1, 1], [2, 0]]}, {%2, %1, [[3, 0], [1, 0], [2, 1]]},

    {%2, %1, [[2, 1], [3, 0], [1, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 0], [2, 0], [1, 0]]

%3 := [[3, 1], [2, 0], [1, 1]]

%4 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 1], [3, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 1], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [2, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 0], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 0], [2, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [1, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[1, 1], [3, 0], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [3, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 0], [1, 1]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[2, 0], [3, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]], %2},

    {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]], %2},

    {[[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 1]], %1},

    {[[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]], %1},

    {[[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[1, 0], [2, 1], [3, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [2, 1], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 1], [2, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [2, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 0], [1, 1]],

    [[2, 0], [3, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], %2, [[3, 0], [1, 0], [2, 1]]},

    {[[2, 0], [1, 0], [3, 0]], %2, [[2, 0], [3, 1], [1, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[3, 0], [1, 1], [2, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[2, 1], [1, 0], [3, 0]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[1, 0], [3, 1], [2, 0]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[2, 0], [1, 1], [3, 0]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[1, 0], [3, 0], [2, 1]]}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 1], [3, 0], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [3, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [3, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [1, 0], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 1], [3, 0], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [3, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 0], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]],

    [[2, 0], [3, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]], [[1, 0], [2, 1], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [2, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 1], [2, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[3, 1], [2, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]]},

    {%1, [[3, 0], [2, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]]},

    {%1, [[3, 1], [2, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]]},

    {%1, [[3, 0], [2, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [1, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]], %1},

    {[[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]], %1},

    {[[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]]},

    {%2, [[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]},

    {%2, [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]]},

    {%2, [[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]]},

    {%1, [[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 1], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [3, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [3, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 1], [3, 0], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [1, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]]},

    {%2, [[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]]},

    {%2, [[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]},

    {%2, [[2, 0], [1, 1], [3, 1]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]},

    {%1, [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]], %2},

    {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]], %2},

    {[[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]], %1},

    {[[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]], %1},

    {[[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]], [[1, 0], [2, 1], [3, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[1, 0], [2, 1], [3, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 1], [2, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 1], [2, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], %2, [[3, 1], [2, 0], [1, 0]]},

    {[[2, 0], [1, 0], [3, 0]], %2, [[3, 0], [2, 0], [1, 1]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[3, 1], [2, 0], [1, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[3, 0], [2, 0], [1, 1]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[1, 1], [2, 0], [3, 0]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[1, 1], [2, 0], [3, 0]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[1, 0], [2, 0], [3, 1]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[1, 0], [2, 0], [3, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]], %2},

    {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]], %1},

    {[[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]], %1},

    {[[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[2, 0], [3, 0], [1, 1]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 0], [1, 0], [3, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 0], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[2, 0], [1, 0], [3, 0]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[3, 0], [1, 1], [2, 0]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[3, 0], [1, 0], [2, 1]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[2, 0], [3, 1], [1, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 1], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], %2, [[3, 0], [1, 1], [2, 0]]},

    {[[2, 0], [1, 0], [3, 0]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[3, 0], [1, 0], [2, 1]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[2, 0], [1, 1], [3, 0]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[2, 1], [1, 0], [3, 0]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[1, 0], [3, 0], [2, 1]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[1, 0], [3, 1], [2, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 0], [3, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[2, 0], [3, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[2, 0], [3, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]], %2},

    {[[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]], %2},

    {[[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]], %1},

    {[[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]], %1},

    {[[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [3, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]],

    [[2, 0], [3, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [2, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [2, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]], %2},

    {[[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]], %2},

    {[[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]], %1},

    {[[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]], %1},

    {[[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [3, 0], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 0], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 0], [3, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 1], [3, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

                        Out of a total of , 280, cases

                     280, were successful and , 0, failed

                               Success Rate: , 1.

                             Here are the failures

                                       {}

                                       {}

             "for patterns of lengths: ", [[3, 0], [3, 2], [3, 2]]

            There all together, 138, different equivalence classes

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [2, 1], [3, 1]], [[1, 1], [3, 1], [2, 0]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[1, 1], [3, 0], [2, 1]]},

    {%1, [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 1], [1, 0]]},

    {%1, [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 1], [1, 0]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 1]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 1]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [3, 1], [2, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [3, 0], [2, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 1], [2, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [1, 1], [3, 0]]}, {[[1, 0], [2, 0], [3, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]], %2, %1},

    {[[2, 0], [3, 0], [1, 0]], %4, %1}, {[[3, 0], [1, 0], [2, 0]], %4, %3},

    {[[2, 0], [1, 0], [3, 0]], %4, %1}, {[[3, 0], [1, 0], [2, 0]], %2, %3},

    {[[2, 0], [1, 0], [3, 0]], %4, %3}, {[[1, 0], [3, 0], [2, 0]], %2, %3},

    {[[1, 0], [3, 0], [2, 0]], %2, %1}}

%1 := [[3, 0], [2, 1], [1, 1]]

%2 := [[1, 1], [2, 1], [3, 0]]

%3 := [[3, 1], [2, 1], [1, 0]]

%4 := [[1, 0], [2, 1], [3, 1]]

the member , {[[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 1], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 1], [3, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 1], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [3, 1], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [3, 1], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [3, 0], [1, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]], %2},

    {[[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]], %2},

    {[[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]], %2},

    {[[2, 0], [1, 0], [3, 0]], %1, [[3, 0], [2, 1], [1, 1]]},

    {[[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]], %2},

    {[[2, 0], [1, 0], [3, 0]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %1, [[3, 0], [2, 1], [1, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [3, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 1], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [3, 0], [2, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[2, 0], [3, 0], [1, 0]], %1, [[2, 1], [1, 0], [3, 1]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[1, 1], [3, 1], [2, 0]]},

    {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]], %2},

    {[[3, 0], [1, 0], [2, 0]], %1, [[2, 0], [1, 1], [3, 1]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[1, 1], [3, 0], [2, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [1, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [3, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [3, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 1], [3, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 1], [3, 0], [2, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 0]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [3, 0], [1, 0]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]], %1},

    {[[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]], %1},

    {[[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]], %1},

    {[[3, 0], [1, 0], [2, 0]], %2, [[2, 1], [3, 0], [1, 1]]},

    {[[3, 0], [1, 0], [2, 0]], %2, [[2, 0], [3, 1], [1, 1]]},

    {[[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 1]], %1},

    {[[2, 0], [1, 0], [3, 0]], %2, [[2, 1], [1, 0], [3, 1]]},

    {[[2, 0], [1, 0], [3, 0]], %2, [[2, 0], [1, 1], [3, 1]]},

    {[[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]], %1},

    {[[1, 0], [3, 0], [2, 0]], %2, [[1, 1], [3, 1], [2, 0]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[1, 1], [3, 0], [2, 1]]},

    {[[3, 0], [1, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]], %2, %1},

    {[[2, 0], [1, 0], [3, 0]], %2, %1}, {[[3, 0], [1, 0], [2, 0]], %2, %1},

    {[[1, 0], [3, 0], [2, 0]], %2, %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 1], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]], %2},

    {[[2, 0], [3, 0], [1, 0]], %1, [[2, 0], [3, 1], [1, 1]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[2, 1], [3, 0], [1, 1]]},

    {[[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]], %2},

    {[[2, 0], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]], %2},

    {[[3, 0], [1, 0], [2, 0]], %1, [[3, 1], [1, 1], [2, 0]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[3, 1], [1, 0], [2, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 1], [1, 0]]},

    {%1, [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 1], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 1], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]],

    [[2, 1], [3, 1], [1, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 1], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 1], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 0], [1, 1]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[3, 0], [2, 1], [1, 1]]},

    {%1, [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 1], [3, 1], [1, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [1, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]], %2, %3},

    {[[1, 0], [3, 0], [2, 0]], %2, %1}, {[[2, 0], [1, 0], [3, 0]], %4, %1},

    {[[2, 0], [3, 0], [1, 0]], %4, %3}, {[[2, 0], [3, 0], [1, 0]], %2, %3},

    {[[3, 0], [1, 0], [2, 0]], %4, %1}, {[[2, 0], [1, 0], [3, 0]], %4, %3},

    {[[3, 0], [1, 0], [2, 0]], %2, %1}}

%1 := [[2, 1], [3, 1], [1, 0]]

%2 := [[2, 1], [1, 1], [3, 0]]

%3 := [[3, 0], [1, 1], [2, 1]]

%4 := [[1, 0], [3, 1], [2, 1]]

the member , {[[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 1], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 1], [3, 1], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]},

    {%2, [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 1], [1, 0]]},

    {%2, [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]},

    {%2, [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 1], [1, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[2, 1], [3, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 1], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 1], [3, 0], [2, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]], %3, %4},

    {[[1, 0], [3, 0], [2, 0]], %3, %1}, {[[2, 0], [1, 0], [3, 0]], %2, %4},

    {[[2, 0], [3, 0], [1, 0]], %3, %4}, {[[2, 0], [3, 0], [1, 0]], %2, %4},

    {[[3, 0], [1, 0], [2, 0]], %2, %1}, {[[3, 0], [1, 0], [2, 0]], %3, %1},

    {[[2, 0], [1, 0], [3, 0]], %2, %1}}

%1 := [[3, 0], [1, 1], [2, 1]]

%2 := [[2, 1], [1, 1], [3, 0]]

%3 := [[1, 0], [3, 1], [2, 1]]

%4 := [[2, 1], [3, 1], [1, 0]]

the member , {[[1, 0], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [3, 1], [1, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 1], [3, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]], %1},

    {[[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]], %1},

    {[[2, 0], [1, 0], [3, 0]], %2, [[1, 1], [3, 1], [2, 0]]},

    {[[2, 0], [1, 0], [3, 0]], %2, [[1, 1], [3, 0], [2, 1]]},

    {[[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]], %1},

    {[[1, 0], [3, 0], [2, 0]], %2, [[2, 0], [1, 1], [3, 1]]},

    {[[1, 0], [3, 0], [2, 0]], %2, [[2, 1], [1, 0], [3, 1]]},

    {[[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [3, 0], [1, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 1], [3, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 1], [1, 0]]},

    {%1, [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]},

    {%2, [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]]},

    {%2, [[2, 0], [3, 1], [1, 1]], [[2, 1], [1, 1], [3, 0]]},

    {%2, [[2, 1], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 0], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 1]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [3, 0], [2, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [3, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [3, 0], [2, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 1], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 1], [1, 0]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 1], [1, 0]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]},

    {%1, [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]},

    {%1, [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]},

    {%1, [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]},

    {%1, [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]], %2},

    {[[2, 0], [3, 0], [1, 0]], %1, [[1, 0], [3, 1], [2, 1]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[2, 1], [1, 1], [3, 0]]},

    {[[2, 0], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]], %2},

    {[[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]], %2},

    {[[3, 0], [1, 0], [2, 0]], %1, [[1, 0], [3, 1], [2, 1]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[2, 1], [1, 1], [3, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[1, 0], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]},

    {%2, [[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]},

    {%2, [[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]]},

    {%2, [[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 1], [1, 0]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[1, 0], [2, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 1], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [3, 1], [2, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]},

    {%2, [[2, 1], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]]},

    {%2, [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]]},

    {%2, [[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]},

    {%2, [[2, 1], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 0], [2, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [3, 0], [2, 1]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 1], [3, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 1], [3, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [3, 1], [2, 0]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [3, 1], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [3, 1], [2, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]], %2},

    {[[2, 0], [3, 0], [1, 0]], %1, [[2, 0], [1, 1], [3, 1]]},

    {[[2, 0], [3, 0], [1, 0]], %1, [[1, 1], [3, 0], [2, 1]]},

    {[[2, 0], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]], %2},

    {[[3, 0], [1, 0], [2, 0]], %1, [[1, 1], [3, 1], [2, 0]]},

    {[[3, 0], [1, 0], [2, 0]], %1, [[2, 1], [1, 0], [3, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [3, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [3, 1], [2, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 1], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [3, 1], [1, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 1]]},

    {%1, [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 1], [1, 0]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 1]]},

    {%1, [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 1], [1, 0]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[1, 1], [3, 1], [2, 0]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[1, 1], [3, 0], [2, 1]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 0], [1, 1]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[3, 0], [2, 1], [1, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[2, 1], [1, 0], [3, 1]]},

    {%4, %3, [[1, 1], [3, 1], [2, 0]]}, {%4, %3, [[2, 0], [1, 1], [3, 1]]},

    {%2, [[2, 1], [3, 0], [1, 1]], %1}, {%4, %3, [[1, 1], [3, 0], [2, 1]]},

    {%2, [[3, 1], [1, 0], [2, 1]], %1}, {%2, [[2, 0], [3, 1], [1, 1]], %1},

    {%2, [[3, 1], [1, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[3, 0], [2, 0], [1, 0]]

%3 := [[1, 1], [2, 0], [3, 1]]

%4 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]},

    {%2, [[2, 1], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]},

    {%2, [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]]},

    {%2, [[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]]},

    {%2, [[2, 0], [3, 1], [1, 1]], [[2, 1], [1, 1], [3, 0]]},

    {%1, [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 1], [1, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]], %2},

    {[[1, 0], [3, 0], [2, 0]], %2, [[3, 0], [2, 1], [1, 1]]},

    {[[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]], %1},

    {[[2, 0], [3, 0], [1, 0]], %1, [[1, 0], [2, 1], [3, 1]]},

    {[[2, 0], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]], %2},

    {[[2, 0], [1, 0], [3, 0]], %2, [[3, 0], [2, 1], [1, 1]]},

    {[[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]], %1},

    {[[3, 0], [1, 0], [2, 0]], %1, [[1, 0], [2, 1], [3, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[1, 0], [3, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]]},

    {%1, [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 1]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]]},

    {%1, [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 1]]},

    {%2, [[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 1], [2, 1]]},

    {%2, [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 1], [3, 0]]},

    {%2, [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 1], [3, 0]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]], %2},

    {[[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 1], [3, 0]], %2},

    {[[2, 0], [1, 0], [3, 0]], %1, [[2, 1], [3, 1], [1, 0]]},

    {[[2, 0], [1, 0], [3, 0]], %1, [[3, 0], [1, 1], [2, 1]]},

    {[[3, 0], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]], %2},

    {[[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]], %2},

    {[[1, 0], [3, 0], [2, 0]], %1, [[3, 0], [1, 1], [2, 1]]},

    {[[1, 0], [3, 0], [2, 0]], %1, [[2, 1], [3, 1], [1, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 0], [3, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 1], [3, 1], [2, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 1], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]]},

    {%2, [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]]},

    {%2, [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]]},

    {%2, [[1, 1], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]]},

    {%2, [[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]], %2},

    {[[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]], %2},

    {[[2, 0], [1, 0], [3, 0]], %1, [[2, 1], [3, 0], [1, 1]]},

    {[[2, 0], [1, 0], [3, 0]], %1, [[3, 1], [1, 1], [2, 0]]},

    {[[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]], %2},

    {[[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]], %2},

    {[[1, 0], [3, 0], [2, 0]], %1, [[2, 0], [3, 1], [1, 1]]},

    {[[1, 0], [3, 0], [2, 0]], %1, [[3, 1], [1, 0], [2, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]]},

    {%2, [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]},

    {%2, [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]]},

    {%2, [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]]},

    {%2, [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%3, %5, %1}, {%6, %5, %1},

    {%6, %5, %4}, {%6, %2, %1}, {%6, %2, %4}, {%3, %5, %4}, {%3, %2, %4},

    {%3, %2, %1}}

%1 := [[3, 1], [2, 1], [1, 0]]

%2 := [[1, 1], [2, 1], [3, 0]]

%3 := [[1, 0], [2, 0], [3, 0]]

%4 := [[3, 0], [2, 1], [1, 1]]

%5 := [[1, 0], [2, 1], [3, 1]]

%6 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 1], [2, 1]]},

    {%2, [[3, 1], [1, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]},

    {%2, [[3, 1], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 1], [2, 1]]},

    {%2, [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]]},

    {%1, [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]},

    {%1, [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]]},

    {%2, [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]]},

    {%2, [[2, 1], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]]},

    {%2, [[2, 1], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, {[[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%2, [[2, 1], [1, 0], [3, 1]], %1},

    {%2, [[1, 1], [3, 0], [2, 1]], %1}, {%4, %3, [[2, 1], [3, 0], [1, 1]]},

    {%4, %3, [[2, 0], [3, 1], [1, 1]]}, {%4, %3, [[3, 1], [1, 1], [2, 0]]},

    {%4, %3, [[3, 1], [1, 0], [2, 1]]}, {%2, [[1, 1], [3, 1], [2, 0]], %1},

    {%2, [[2, 0], [1, 1], [3, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[3, 0], [2, 0], [1, 0]]

%3 := [[1, 1], [2, 0], [3, 1]]

%4 := [[1, 0], [2, 0], [3, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, [[2, 0], [1, 1], [3, 1]], %3},

    {%4, [[2, 1], [1, 0], [3, 1]], %3}, {%4, [[1, 1], [3, 1], [2, 0]], %3},

    {%4, [[1, 1], [3, 0], [2, 1]], %3}, {%2, %1, [[2, 1], [3, 0], [1, 1]]},

    {%2, %1, [[2, 0], [3, 1], [1, 1]]}, {%2, %1, [[3, 1], [1, 1], [2, 0]]},

    {%2, %1, [[3, 1], [1, 0], [2, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 0], [2, 0], [1, 0]]

%3 := [[3, 1], [2, 0], [1, 1]]

%4 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%2, [[2, 0], [3, 1], [1, 1]], %1},

    {%2, [[2, 1], [3, 0], [1, 1]], %1}, {%4, %3, [[2, 1], [1, 0], [3, 1]]},

    {%4, %3, [[2, 0], [1, 1], [3, 1]]}, {%4, %3, [[1, 1], [3, 1], [2, 0]]},

    {%4, %3, [[1, 1], [3, 0], [2, 1]]}, {%2, [[3, 1], [1, 1], [2, 0]], %1},

    {%2, [[3, 1], [1, 0], [2, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 0], [2, 0], [3, 0]]

%3 := [[1, 1], [2, 0], [3, 1]]

%4 := [[3, 0], [2, 0], [1, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]], %2},

    {[[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]], %2},

    {[[3, 0], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]], %2},

    {[[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]], %2},

    {[[2, 0], [1, 0], [3, 0]], %1, [[2, 0], [3, 1], [1, 1]]},

    {[[2, 0], [1, 0], [3, 0]], %1, [[3, 1], [1, 0], [2, 1]]},

    {[[1, 0], [3, 0], [2, 0]], %1, [[2, 1], [3, 0], [1, 1]]},

    {[[1, 0], [3, 0], [2, 0]], %1, [[3, 1], [1, 1], [2, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[3, 1], [2, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 1], [3, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 1], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[3, 1], [1, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 1], [3, 0]]},

    {%1, [[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]]},

    {%2, [[3, 1], [1, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]]},

    {%2, [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 1]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 1], [3, 0]]},

    {%2, [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 1]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 1], [2, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 0], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 0]], %2, %1},

    {[[2, 0], [3, 0], [1, 0]], %4, %1}, {[[3, 0], [1, 0], [2, 0]], %4, %3},

    {[[2, 0], [1, 0], [3, 0]], %2, %3}, {[[1, 0], [3, 0], [2, 0]], %4, %1},

    {[[1, 0], [3, 0], [2, 0]], %4, %3}, {[[3, 0], [1, 0], [2, 0]], %2, %3},

    {[[2, 0], [1, 0], [3, 0]], %2, %1}}

%1 := [[3, 1], [2, 1], [1, 0]]

%2 := [[1, 1], [2, 1], [3, 0]]

%3 := [[3, 0], [2, 1], [1, 1]]

%4 := [[1, 0], [2, 1], [3, 1]]

the member , {[[2, 0], [3, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]]},

    {%1, [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]]},

    {%2, [[3, 1], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]},

    {%2, [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 1], [2, 1]]},

    {%2, [[3, 1], [1, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 1], [2, 1]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[1, 0], [2, 0], [3, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 1], [3, 0], [2, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 1]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]]},

    {%2, [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]},

    {%1, [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]]},

    {%2, [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]]},

    {%2, [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 1], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]]},

    {%1, [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]},

    {%2, [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]]},

    {%1, [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]]},

    {%2, [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]]},

    {%2, [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]},

    {%1, [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]]},

    {%1, [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[1, 1], [3, 1], [2, 0]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[1, 1], [3, 0], [2, 1]]},

    {%2, [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]},

    {%2, [[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 1], [1, 1]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 1]]},

    {%2, [[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]]}}

%1 := [[1, 0], [2, 0], [3, 0]]

%2 := [[3, 0], [2, 0], [1, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 1], [3, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]]}, {

    [[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[3, 0], [2, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 1]]},

    {%2, [[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 1], [1, 1]]},

    {%2, [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[1, 1], [3, 1], [2, 0]]},

    {%2, [[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]},

    {%2, [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[1, 1], [3, 0], [2, 1]]}}

%1 := [[3, 0], [2, 0], [1, 0]]

%2 := [[1, 0], [2, 0], [3, 0]]

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 0]],

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [3, 0], [2, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 1]]}, {[[1, 0], [2, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 1]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 1], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 0], [2, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [3, 0], [2, 1]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 0], [2, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 1]]}, {[[2, 0], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 1]]}, {[[2, 0], [3, 0], [1, 0]],

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]]}, {

    [[3, 0], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 1], [3, 0], [2, 1]]}}

the member , {[[1, 0], [3, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 1], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 1], [3, 1], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 0], [2, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [3, 1], [2, 0]]}}

the member , {[[3, 0], [2, 0], [1, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%6, %5, %1}, {%6, %5, %4},

    {%6, %2, %1}, {%6, %2, %4}, {%3, %2, %4}, {%3, %5, %1}, {%3, %5, %4},

    {%3, %2, %1}}

%1 := [[3, 0], [1, 1], [2, 1]]

%2 := [[2, 1], [1, 1], [3, 0]]

%3 := [[3, 0], [2, 0], [1, 0]]

%4 := [[2, 1], [3, 1], [1, 0]]

%5 := [[1, 0], [3, 1], [2, 1]]

%6 := [[1, 0], [2, 0], [3, 0]]

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 0], [2, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 1], [3, 0]]}}

the member , {[[1, 0], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

                        Out of a total of , 138, cases

                     138, were successful and , 0, failed

                               Success Rate: , 1.

                             Here are the failures

                                       {}

                                       {}

             "for patterns of lengths: ", [[3, 1], [3, 1], [3, 1]]

            There all together, 118, different equivalence classes

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 0], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}}

the member , {[[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[3, 0], [2, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [2, 1], [3, 0]],

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [2, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[3, 0], [2, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [2, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 0], [2, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[1, 0], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]]}}

the member , {[[1, 0], [2, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[3, 0], [2, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%2, [[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]},

    {%2, [[1, 0], [2, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]]},

    {[[1, 1], [2, 0], [3, 0]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[1, 1], [2, 0], [3, 0]], %2, [[1, 0], [3, 1], [2, 0]]},

    {%1, [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]},

    {%1, [[3, 0], [2, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]},

    {%1, [[3, 0], [1, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%2, %1, [[2, 0], [3, 1], [1, 0]]},

    {%2, [[3, 0], [1, 0], [2, 1]], %1}, {%2, %1, [[2, 0], [1, 1], [3, 0]]},

    {%2, %1, [[2, 1], [1, 0], [3, 0]]}, {%2, %1, [[1, 0], [3, 0], [2, 1]]},

    {%2, %1, [[1, 0], [3, 1], [2, 0]]}, {%2, %1, [[2, 1], [3, 0], [1, 0]]},

    {%2, [[3, 0], [1, 1], [2, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 1], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 0]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[2, 0], [3, 0], [1, 1]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[2, 0], [3, 0], [1, 1]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 0]], %1, [[3, 0], [1, 0], [2, 1]]},

    {[[2, 0], [1, 0], [3, 1]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[3, 1], [1, 0], [2, 0]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[3, 1], [1, 0], [2, 0]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[2, 0], [1, 0], [3, 1]], %1, [[3, 0], [1, 1], [2, 0]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]},

    {%1, [[1, 0], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 0], [2, 1]], %1, [[1, 0], [3, 0], [2, 1]]},

    {%2, [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[2, 1], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]]},

    {%1, [[2, 1], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[3, 0], [1, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]},

    {[[3, 0], [1, 1], [2, 0]], %1, [[2, 0], [1, 1], [3, 0]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[2, 0], [3, 0], [1, 1]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[2, 0], [3, 0], [1, 1]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[2, 0], [1, 0], [3, 1]], %1, [[3, 0], [1, 0], [2, 1]]},

    {[[1, 1], [3, 0], [2, 0]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[3, 1], [1, 0], [2, 0]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[3, 1], [1, 0], [2, 0]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[1, 1], [3, 0], [2, 0]], %1, [[3, 0], [1, 1], [2, 0]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 0], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{%1, %3, [[1, 0], [3, 0], [2, 1]]},

    {%2, %1, [[1, 0], [3, 1], [2, 0]]}, {%2, %4, [[2, 1], [1, 0], [3, 0]]},

    {%2, %4, [[3, 0], [1, 0], [2, 1]]}, {%4, %3, [[2, 0], [1, 1], [3, 0]]},

    {%1, %3, [[2, 1], [3, 0], [1, 0]]}, {%4, %3, [[2, 0], [3, 1], [1, 0]]},

    {%2, %1, [[3, 0], [1, 1], [2, 0]]}}

%1 := [[2, 0], [1, 0], [3, 1]]

%2 := [[2, 0], [3, 0], [1, 1]]

%3 := [[3, 1], [1, 0], [2, 0]]

%4 := [[1, 1], [3, 0], [2, 0]]

the member , {[[2, 0], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [2, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[1, 0], [3, 0], [2, 1]]},

    {%2, %1, [[3, 0], [1, 0], [2, 1]]}, {%2, %1, [[3, 0], [1, 1], [2, 0]]},

    {%4, %3, [[1, 0], [3, 1], [2, 0]]}, {%4, %3, [[2, 0], [1, 1], [3, 0]]},

    {%4, %3, [[2, 1], [1, 0], [3, 0]]}, {%2, %1, [[2, 1], [3, 0], [1, 0]]},

    {%2, %1, [[2, 0], [3, 1], [1, 0]]}}

%1 := [[3, 1], [1, 0], [2, 0]]

%2 := [[2, 0], [3, 0], [1, 1]]

%3 := [[1, 1], [3, 0], [2, 0]]

%4 := [[2, 0], [1, 0], [3, 1]]

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 0]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[1, 1], [3, 0], [2, 0]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[2, 0], [1, 0], [3, 1]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[2, 0], [3, 0], [1, 1]], %1, [[3, 0], [1, 1], [2, 0]]},

    {[[2, 0], [3, 0], [1, 1]], %1, [[3, 0], [1, 0], [2, 1]]},

    {[[3, 1], [1, 0], [2, 0]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[3, 1], [1, 0], [2, 0]], %1, [[2, 0], [3, 1], [1, 0]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 0], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 0], [2, 1]], %1, [[2, 1], [1, 0], [3, 0]]},

    {%2, [[3, 0], [1, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]},

    {%2, [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]},

    {%1, [[2, 0], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]},

    {%1, [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]]},

    {[[3, 0], [1, 1], [2, 0]], %1, [[1, 0], [3, 1], [2, 0]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [2, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[1, 0], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{%2, %4, [[1, 0], [3, 0], [2, 1]]},

    {%2, %1, [[2, 0], [1, 1], [3, 0]]}, {%4, %3, [[1, 0], [3, 1], [2, 0]]},

    {%1, %3, [[2, 1], [1, 0], [3, 0]]}, {%2, %4, [[3, 0], [1, 0], [2, 1]]},

    {%1, %3, [[2, 1], [3, 0], [1, 0]]}, {%4, %3, [[2, 0], [3, 1], [1, 0]]},

    {%2, %1, [[3, 0], [1, 1], [2, 0]]}}

%1 := [[1, 1], [3, 0], [2, 0]]

%2 := [[2, 0], [3, 0], [1, 1]]

%3 := [[3, 1], [1, 0], [2, 0]]

%4 := [[2, 0], [1, 0], [3, 1]]

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %2, [[2, 1], [3, 0], [1, 0]]},

    {%4, %2, [[2, 1], [1, 0], [3, 0]]}, {%4, %3, [[2, 0], [3, 1], [1, 0]]},

    {%4, %3, [[1, 0], [3, 1], [2, 0]]}, {%3, %1, [[1, 0], [3, 0], [2, 1]]},

    {%3, %1, [[3, 0], [1, 0], [2, 1]]}, {%2, %1, [[2, 0], [1, 1], [3, 0]]},

    {%2, %1, [[3, 0], [1, 1], [2, 0]]}}

%1 := [[3, 1], [1, 0], [2, 0]]

%2 := [[2, 0], [1, 0], [3, 1]]

%3 := [[1, 1], [3, 0], [2, 0]]

%4 := [[2, 0], [3, 0], [1, 1]]

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[2, 0], [1, 1], [3, 0]]},

    {%4, %3, [[2, 0], [3, 1], [1, 0]]}, {%4, %2, [[2, 1], [3, 0], [1, 0]]},

    {%4, %2, [[1, 0], [3, 0], [2, 1]]}, {%3, %1, [[2, 1], [1, 0], [3, 0]]},

    {%2, %1, [[1, 0], [3, 1], [2, 0]]}, {%3, %1, [[3, 0], [1, 0], [2, 1]]},

    {%2, %1, [[3, 0], [1, 1], [2, 0]]}}

%1 := [[3, 1], [1, 0], [2, 0]]

%2 := [[1, 1], [3, 0], [2, 0]]

%3 := [[2, 0], [1, 0], [3, 1]]

%4 := [[2, 0], [3, 0], [1, 1]]

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[1, 0], [2, 0], [3, 1]]},

    {%4, %3, [[3, 0], [2, 0], [1, 1]]}, {%4, %2, [[3, 0], [2, 0], [1, 1]]},

    {%4, %2, [[1, 1], [2, 0], [3, 0]]}, {%3, %1, [[1, 0], [2, 0], [3, 1]]},

    {%3, %1, [[3, 1], [2, 0], [1, 0]]}, {%2, %1, [[3, 1], [2, 0], [1, 0]]},

    {%2, %1, [[1, 1], [2, 0], [3, 0]]}}

%1 := [[3, 1], [1, 0], [2, 0]]

%2 := [[1, 1], [3, 0], [2, 0]]

%3 := [[2, 0], [1, 0], [3, 1]]

%4 := [[2, 0], [3, 0], [1, 1]]

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[3, 1], [2, 0], [1, 0]]},

    {%4, %3, [[1, 1], [2, 0], [3, 0]]}, {%4, %2, [[1, 0], [2, 0], [3, 1]]},

    {%4, %2, [[3, 1], [2, 0], [1, 0]]}, {%3, %1, [[1, 1], [2, 0], [3, 0]]},

    {%3, %1, [[3, 0], [2, 0], [1, 1]]}, {%2, %1, [[3, 0], [2, 0], [1, 1]]},

    {%2, %1, [[1, 0], [2, 0], [3, 1]]}}

%1 := [[3, 1], [1, 0], [2, 0]]

%2 := [[1, 1], [3, 0], [2, 0]]

%3 := [[2, 0], [1, 0], [3, 1]]

%4 := [[2, 0], [3, 0], [1, 1]]

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]], %1},

    {[[2, 0], [1, 0], [3, 1]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 0]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[1, 1], [3, 0], [2, 0]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[3, 1], [1, 0], [2, 0]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[3, 1], [1, 0], [2, 0]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]},

    {[[3, 0], [1, 0], [2, 1]], %1, [[3, 0], [2, 0], [1, 1]]},

    {[[3, 1], [2, 0], [1, 0]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[3, 1], [2, 0], [1, 0]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[1, 1], [2, 0], [3, 0]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[1, 1], [2, 0], [3, 0]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[3, 0], [1, 1], [2, 0]], %1, [[3, 0], [2, 0], [1, 1]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 1], [2, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}}

the member , {[[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[1, 0], [3, 1], [2, 0]]},

    {%4, %3, [[1, 0], [3, 0], [2, 1]]}, {%4, %3, [[2, 1], [1, 0], [3, 0]]},

    {%4, %3, [[2, 0], [1, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 1]], %2, %1},

    {%2, %1, [[2, 1], [3, 0], [1, 0]]}, {%2, %1, [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 1], [2, 0]], %2, %1}}

%1 := [[3, 0], [2, 0], [1, 1]]

%2 := [[3, 1], [2, 0], [1, 0]]

%3 := [[1, 0], [2, 0], [3, 1]]

%4 := [[1, 1], [2, 0], [3, 0]]

the member , {[[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[1, 0], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]},

    {%1, [[2, 1], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 0], [2, 1]], %2, [[1, 0], [3, 1], [2, 0]]},

    {%1, [[3, 0], [1, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]},

    {%2, [[2, 0], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[1, 0], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 1], [2, 0]], %2, [[2, 1], [1, 0], [3, 0]]},

    {%1, [[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[1, 1], [3, 0], [2, 0]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[2, 0], [3, 0], [1, 1]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[2, 0], [3, 0], [1, 1]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]], %1},

    {[[3, 1], [1, 0], [2, 0]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[3, 1], [1, 0], [2, 0]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{%2, %1, [[1, 0], [3, 1], [2, 0]]},

    {%3, %1, [[1, 0], [3, 0], [2, 1]]}, {%3, %1, [[2, 1], [3, 0], [1, 0]]},

    {%4, %2, [[2, 1], [1, 0], [3, 0]]}, {%4, [[3, 0], [1, 0], [2, 1]], %2},

    {%4, %3, [[2, 0], [1, 1], [3, 0]]}, {%4, %3, [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 1], [2, 0]], %2, %1}}

%1 := [[1, 0], [2, 0], [3, 1]]

%2 := [[3, 0], [2, 0], [1, 1]]

%3 := [[3, 1], [2, 0], [1, 0]]

%4 := [[1, 1], [2, 0], [3, 0]]

the member , {[[3, 0], [2, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]},

    {[[1, 1], [2, 0], [3, 0]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[1, 1], [2, 0], [3, 0]], %2, [[2, 1], [1, 0], [3, 0]]},

    {%1, [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]},

    {%1, [[3, 1], [2, 0], [1, 0]], [[2, 1], [3, 0], [1, 0]]},

    {%1, [[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]},

    {%1, [[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[3, 0], [2, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[3, 0], [2, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%3, %4, [[1, 0], [3, 1], [2, 0]]},

    {%1, %4, [[1, 0], [3, 0], [2, 1]]}, {%3, %4, [[2, 0], [3, 1], [1, 0]]},

    {%2, %1, [[2, 0], [1, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 1]], %1, %4},

    {%2, %3, [[2, 1], [1, 0], [3, 0]]}, {%2, %3, [[2, 1], [3, 0], [1, 0]]},

    {%2, [[3, 0], [1, 1], [2, 0]], %1}}

%1 := [[3, 0], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 0]]

%3 := [[3, 1], [2, 0], [1, 0]]

%4 := [[1, 0], [2, 0], [3, 1]]

the member , {[[3, 1], [2, 0], [1, 0]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [2, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 0], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[1, 1], [3, 0], [2, 0]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[2, 0], [3, 0], [1, 1]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[2, 0], [3, 0], [1, 1]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]], %1},

    {[[3, 1], [1, 0], [2, 0]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[3, 1], [1, 0], [2, 0]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]], %4, %2},

    {[[2, 0], [1, 0], [3, 1]], %4, %2}, {[[3, 1], [1, 0], [2, 0]], %4, %3},

    {[[2, 0], [1, 0], [3, 1]], %4, %3}, {[[3, 1], [1, 0], [2, 0]], %3, %1},

    {[[1, 1], [3, 0], [2, 0]], %3, %1}, {[[1, 1], [3, 0], [2, 0]], %2, %1},

    {[[2, 0], [3, 0], [1, 1]], %2, %1}}

%1 := [[1, 0], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 0]]

%3 := [[3, 0], [2, 0], [1, 1]]

%4 := [[1, 1], [2, 0], [3, 0]]

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]], %1},

    {[[2, 0], [3, 0], [1, 1]], %1, [[1, 0], [2, 0], [3, 1]]},

    {[[3, 1], [1, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]], %1},

    {[[2, 0], [1, 0], [3, 1]], %2, [[3, 0], [2, 0], [1, 1]]},

    {[[2, 0], [1, 0], [3, 1]], %2, [[3, 1], [2, 0], [1, 0]]},

    {[[1, 1], [3, 0], [2, 0]], %2, [[3, 0], [2, 0], [1, 1]]},

    {[[1, 1], [3, 0], [2, 0]], %2, [[3, 1], [2, 0], [1, 0]]},

    {[[3, 1], [1, 0], [2, 0]], %1, [[1, 0], [2, 0], [3, 1]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%6, %2, %1}, {%4, %6, %1},

    {%4, %3, %5}, {%4, %6, %5}, {%3, %2, %5}, {%6, %2, %5}, {%4, %3, %1},

    {%3, %2, %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[3, 1], [1, 0], [2, 0]]

%3 := [[2, 0], [1, 0], [3, 1]]

%4 := [[2, 0], [3, 0], [1, 1]]

%5 := [[1, 0], [2, 1], [3, 0]]

%6 := [[1, 1], [3, 0], [2, 0]]

the member , {[[1, 1], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 1]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[2, 0], [3, 0], [1, 1]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[2, 0], [1, 0], [3, 1]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[2, 0], [1, 0], [3, 1]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]], %1},

    {[[1, 1], [3, 0], [2, 0]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[1, 1], [3, 0], [2, 0]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%2, [[3, 1], [2, 0], [1, 0]], %1},

    {%2, %1, [[1, 0], [2, 0], [3, 1]]}, {%2, %1, [[3, 0], [2, 0], [1, 1]]},

    {[[1, 1], [2, 0], [3, 0]], %2, %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]},

    {%1, [[1, 0], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 0], [2, 1]], %2, [[2, 0], [1, 1], [3, 0]]},

    {%1, [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%1, [[2, 0], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[2, 1], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 1], [2, 0]], %2, [[1, 0], [3, 0], [2, 1]]},

    {%1, [[3, 0], [1, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[3, 0], [2, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 0]], %2, %1},

    {[[2, 0], [3, 0], [1, 1]], %2, %1}, {[[3, 1], [1, 0], [2, 0]], %2, %1},

    {[[2, 0], [1, 0], [3, 1]], %2, %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[1, 0], [2, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%1, [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]},

    {%2, [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[3, 0], [2, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]]},

    {[[3, 1], [2, 0], [1, 0]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[1, 1], [2, 0], [3, 0]], %1, [[3, 0], [1, 1], [2, 0]]},

    {[[3, 1], [2, 0], [1, 0]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[1, 1], [2, 0], [3, 0]], %1, [[2, 1], [3, 0], [1, 0]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]], %3, %1},

    {[[2, 0], [3, 0], [1, 1]], %4, %3}, {[[3, 1], [1, 0], [2, 0]], %4, %2},

    {[[1, 1], [3, 0], [2, 0]], %4, %2}, {[[1, 1], [3, 0], [2, 0]], %4, %3},

    {[[2, 0], [1, 0], [3, 1]], %3, %1}, {[[2, 0], [1, 0], [3, 1]], %2, %1},

    {[[3, 1], [1, 0], [2, 0]], %2, %1}}

%1 := [[1, 0], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 0]]

%3 := [[3, 0], [2, 0], [1, 1]]

%4 := [[1, 1], [2, 0], [3, 0]]

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}}

the member , {[[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}}

the member , {[[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 1], [1, 0]],

    [[1, 0], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[3, 0], [1, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 0]], %1, [[3, 0], [2, 0], [1, 1]]},

    {[[1, 1], [3, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]], %1},

    {[[2, 0], [3, 0], [1, 1]], %2, [[1, 0], [2, 0], [3, 1]]},

    {[[3, 1], [1, 0], [2, 0]], %2, [[1, 0], [2, 0], [3, 1]]},

    {[[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]], %2},

    {[[3, 1], [1, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]], %2},

    {[[2, 0], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]], %1},

    {[[2, 0], [1, 0], [3, 1]], %1, [[3, 0], [2, 0], [1, 1]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%1, %3, [[2, 1], [1, 0], [3, 0]]},

    {%4, %3, [[2, 0], [1, 1], [3, 0]]}, {%4, %3, [[2, 0], [3, 1], [1, 0]]},

    {%2, %4, [[2, 1], [3, 0], [1, 0]]}, {%2, %4, [[1, 0], [3, 0], [2, 1]]},

    {[[3, 0], [1, 0], [2, 1]], %1, %3}, {%2, %1, [[1, 0], [3, 1], [2, 0]]},

    {%2, [[3, 0], [1, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 0]]

%2 := [[1, 1], [2, 0], [3, 0]]

%3 := [[1, 0], [2, 0], [3, 1]]

%4 := [[3, 0], [2, 0], [1, 1]]

the member , {[[3, 1], [2, 0], [1, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 0], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}}

the member , {[[3, 0], [1, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 1], [3, 0]],

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [2, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 0], [2, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [2, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[1, 0], [2, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]},

    {%2, [[1, 0], [2, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]]},

    {[[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]], %1},

    {%1, [[3, 0], [2, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]},

    {%1, [[3, 0], [2, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]},

    {[[1, 1], [2, 0], [3, 0]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[1, 1], [2, 0], [3, 0]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[3, 0], [1, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{%4, %1, [[2, 1], [1, 0], [3, 0]]},

    {%2, %1, [[2, 0], [1, 1], [3, 0]]}, {%4, %1, [[2, 1], [3, 0], [1, 0]]},

    {%3, %4, [[2, 0], [3, 1], [1, 0]]}, {%3, %4, [[1, 0], [3, 1], [2, 0]]},

    {%3, [[3, 0], [1, 0], [2, 1]], %2}, {%3, %2, [[1, 0], [3, 0], [2, 1]]},

    {[[3, 0], [1, 1], [2, 0]], %2, %1}}

%1 := [[1, 0], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 0]]

%3 := [[1, 1], [2, 0], [3, 0]]

%4 := [[3, 0], [2, 0], [1, 1]]

the member , {[[3, 0], [2, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[2, 0], [1, 0], [3, 1]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[1, 1], [3, 0], [2, 0]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[1, 1], [3, 0], [2, 0]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[2, 0], [3, 0], [1, 1]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[2, 0], [3, 0], [1, 1]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[3, 1], [1, 0], [2, 0]], %1, [[3, 0], [1, 0], [2, 1]]},

    {[[3, 1], [1, 0], [2, 0]], %1, [[3, 0], [1, 1], [2, 0]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[1, 1], [2, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%3, %4, %6}, {%3, %6, %1},

    {%2, %1, %5}, {%6, %1, %5}, {%2, %4, %5}, {%4, %6, %5}, {%3, %2, %4},

    {%3, %2, %1}}

%1 := [[3, 0], [2, 0], [1, 1]]

%2 := [[1, 0], [2, 1], [3, 0]]

%3 := [[1, 1], [2, 0], [3, 0]]

%4 := [[3, 1], [2, 0], [1, 0]]

%5 := [[1, 0], [2, 0], [3, 1]]

%6 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[1, 0], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[3, 0], [2, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]]},

    {[[3, 1], [2, 0], [1, 0]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[1, 1], [2, 0], [3, 0]], %1, [[3, 0], [1, 0], [2, 1]]},

    {[[3, 1], [2, 0], [1, 0]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[1, 1], [2, 0], [3, 0]], %1, [[2, 0], [3, 1], [1, 0]]},

    {%1, [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 0], [2, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 0]],

    [[1, 0], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 1], [1, 0]],

    [[2, 1], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 0], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 0]]}}

the member , {[[3, 0], [2, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[1, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {{%2, %1, [[2, 1], [3, 0], [1, 0]]},

    {%2, %1, [[2, 0], [3, 1], [1, 0]]}, {%2, [[3, 0], [1, 0], [2, 1]], %1},

    {%4, %3, [[1, 0], [3, 1], [2, 0]]}, {%4, %3, [[1, 0], [3, 0], [2, 1]]},

    {%4, %3, [[2, 1], [1, 0], [3, 0]]}, {%4, %3, [[2, 0], [1, 1], [3, 0]]},

    {%2, [[3, 0], [1, 1], [2, 0]], %1}}

%1 := [[1, 0], [2, 0], [3, 1]]

%2 := [[1, 1], [2, 0], [3, 0]]

%3 := [[3, 0], [2, 0], [1, 1]]

%4 := [[3, 1], [2, 0], [1, 0]]

the member , {[[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[1, 0], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]},

    {[[1, 1], [2, 0], [3, 0]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]], %1},

    {%2, [[3, 0], [2, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]]},

    {%2, [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[3, 1], [2, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]]},

    {[[3, 0], [1, 1], [2, 0]], %1, [[1, 0], [2, 0], [3, 1]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[3, 0], [2, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 1, 1, 1, 1, 1

                 Using  the scheme, the first, , 31, terms are

[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,

    1, 1, 1, 1, 1]

For the equivalence class of patterns, {

    {%1, [[1, 0], [2, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]]},

    {[[1, 1], [2, 0], [3, 0]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[3, 0], [1, 0], [2, 1]], %1, [[1, 0], [2, 0], [3, 1]]},

    {%2, [[3, 0], [2, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]]},

    {%2, [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[3, 1], [2, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]]},

    {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[3, 0], [2, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

              {[[], {}, {}, {}], [[1], {[1, 0], [0, 1]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 1, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

                        Out of a total of , 118, cases

                     115, were successful and , 3, failed

                             Success Rate: , 0.975

                             Here are the failures

{{{%4, %3, [[1, 0], [2, 1], [3, 0]]}, {%2, %1, [[3, 0], [2, 1], [1, 0]]}}, {

    {%4, %3, [[1, 1], [2, 0], [3, 0]]}, {%4, %3, [[1, 0], [2, 0], [3, 1]]},

    {%2, %1, [[3, 1], [2, 0], [1, 0]]}, {%2, %1, [[3, 0], [2, 0], [1, 1]]}}, {

    {%4, %3, [[2, 1], [1, 0], [3, 0]]}, {%4, %3, [[1, 0], [3, 0], [2, 1]]},

    {%4, %3, [[1, 0], [3, 1], [2, 0]]}, {%2, %1, [[3, 0], [1, 0], [2, 1]]},

    {%2, %1, [[2, 0], [3, 1], [1, 0]]}, {%2, %1, [[2, 1], [3, 0], [1, 0]]},

    {%4, %3, [[2, 0], [1, 1], [3, 0]]}, {%2, %1, [[3, 0], [1, 1], [2, 0]]}}}

%1 := [[1, 1], [3, 0], [2, 0]]

%2 := [[2, 0], [1, 0], [3, 1]]

%3 := [[3, 1], [1, 0], [2, 0]]

%4 := [[2, 0], [3, 0], [1, 1]]

{{{%4, %3, [[1, 0], [2, 1], [3, 0]]}, {%2, %1, [[3, 0], [2, 1], [1, 0]]}}, {

    {%4, %3, [[1, 1], [2, 0], [3, 0]]}, {%4, %3, [[1, 0], [2, 0], [3, 1]]},

    {%2, %1, [[3, 1], [2, 0], [1, 0]]}, {%2, %1, [[3, 0], [2, 0], [1, 1]]}}, {

    {%4, %3, [[2, 1], [1, 0], [3, 0]]}, {%4, %3, [[1, 0], [3, 0], [2, 1]]},

    {%4, %3, [[1, 0], [3, 1], [2, 0]]}, {%2, %1, [[3, 0], [1, 0], [2, 1]]},

    {%2, %1, [[2, 0], [3, 1], [1, 0]]}, {%2, %1, [[2, 1], [3, 0], [1, 0]]},

    {%4, %3, [[2, 0], [1, 1], [3, 0]]}, {%2, %1, [[3, 0], [1, 1], [2, 0]]}}}

%1 := [[1, 1], [3, 0], [2, 0]]

%2 := [[2, 0], [1, 0], [3, 1]]

%3 := [[3, 1], [1, 0], [2, 0]]

%4 := [[2, 0], [3, 0], [1, 1]]

             "for patterns of lengths: ", [[3, 1], [3, 1], [3, 2]]

            There all together, 378, different equivalence classes

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}}

the member , {[[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 1], [2, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%2, %1, [[1, 0], [2, 1], [3, 1]]},

    {%2, %1, [[1, 1], [2, 1], [3, 0]]}, {%2, %1, [[3, 0], [2, 1], [1, 1]]},

    {%2, %1, [[3, 1], [2, 1], [1, 0]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[2, 0], [1, 0], [3, 1]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[1, 1], [3, 0], [2, 0]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 1]], %1},

    {[[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 1], [2, 0]], %1},

    {[[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]], %1},

    {[[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]},

    {%2, [[2, 1], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]]},

    {%2, [[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]},

    {%2, [[3, 0], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]},

    {%2, [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[3, 0], [2, 1], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[1, 1], [2, 1], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]], %1},

    {[[2, 0], [3, 0], [1, 1]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[2, 0], [3, 0], [1, 1]], %2, [[2, 0], [3, 1], [1, 0]]},

    {[[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]], %1},

    {[[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]], %2},

    {[[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]], %2},

    {[[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]], %1},

    {[[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 0], [3, 1]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[2, 0], [3, 1], [1, 1]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[2, 1], [3, 0], [1, 1]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 0], [2, 1]], %1, [[3, 1], [1, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 1]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[1, 1], [3, 1], [2, 0]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[2, 0], [1, 1], [3, 1]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[3, 0], [1, 1], [2, 0]], %1, [[3, 1], [1, 0], [2, 1]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 1], [2, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[3, 0], [2, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 1], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 1]], [[1, 1], [2, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[1, 0], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, [[2, 1], [1, 0], [3, 0]], %3},

    {%4, [[2, 0], [1, 1], [3, 0]], %3}, {%2, %1, [[2, 1], [3, 0], [1, 0]]},

    {%2, %1, [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]], %2, %1},

    {%4, [[1, 0], [3, 1], [2, 0]], %3}, {%4, [[1, 0], [3, 0], [2, 1]], %3},

    {[[3, 0], [1, 1], [2, 0]], %2, %1}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 0], [2, 1], [1, 0]]

%3 := [[3, 1], [2, 0], [1, 1]]

%4 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%3, [[1, 1], [2, 1], [3, 0]], %1},

    {%3, %1, [[3, 1], [2, 1], [1, 0]]}, {%4, %2, [[1, 0], [2, 1], [3, 1]]},

    {%4, %2, [[3, 0], [2, 1], [1, 1]]}, {%4, %3, [[1, 0], [2, 1], [3, 1]]},

    {%4, %3, [[3, 1], [2, 1], [1, 0]]}, {%2, [[1, 1], [2, 1], [3, 0]], %1},

    {%2, %1, [[3, 0], [2, 1], [1, 1]]}}

%1 := [[1, 0], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 0]]

%3 := [[3, 0], [2, 0], [1, 1]]

%4 := [[1, 1], [2, 0], [3, 0]]

the member , {[[3, 0], [2, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [3, 1], [1, 0]], %1, [[2, 0], [1, 1], [3, 0]]},

    {[[1, 0], [3, 1], [2, 1]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[2, 1], [1, 1], [3, 0]], %2, [[2, 0], [3, 1], [1, 0]]},

    {[[1, 0], [3, 1], [2, 1]], %2, [[3, 0], [1, 1], [2, 0]]},

    {[[2, 1], [1, 1], [3, 0]], %2, [[3, 0], [1, 0], [2, 1]]},

    {%1, [[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [3, 1], [1, 0]], %1, [[1, 0], [3, 0], [2, 1]]},

    {%1, [[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[1, 0], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 1], [2, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 1], [3, 1]], %1, [[2, 0], [1, 1], [3, 0]]},

    {[[2, 1], [3, 0], [1, 1]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[2, 0], [3, 1], [1, 1]], %2, [[2, 0], [3, 1], [1, 0]]},

    {%2, [[3, 0], [1, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]},

    {%2, [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], %1, [[1, 0], [3, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 1]], %1, [[1, 0], [3, 0], [2, 1]]},

    {[[2, 1], [1, 0], [3, 1]], %1, [[2, 1], [1, 0], [3, 0]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 0], [1, 1], [3, 1]], [[3, 0], [2, 1], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 1], [2, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[2, 1], [1, 0], [3, 1]]},

    {%4, %3, [[2, 0], [1, 1], [3, 1]]}, {%4, %3, [[1, 1], [3, 1], [2, 0]]},

    {%4, %3, [[1, 1], [3, 0], [2, 1]]}, {%2, %1, [[2, 1], [3, 0], [1, 1]]},

    {%2, %1, [[2, 0], [3, 1], [1, 1]]}, {%2, %1, [[3, 1], [1, 0], [2, 1]]},

    {%2, %1, [[3, 1], [1, 1], [2, 0]]}}

%1 := [[1, 1], [3, 0], [2, 0]]

%2 := [[2, 0], [1, 0], [3, 1]]

%3 := [[3, 1], [1, 0], [2, 0]]

%4 := [[2, 0], [3, 0], [1, 1]]

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 1], [3, 1]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[2, 1], [3, 0], [1, 1]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[2, 0], [3, 1], [1, 1]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 0], [2, 1]], %1, [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 1]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[2, 1], [1, 0], [3, 1]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[3, 0], [1, 1], [2, 0]], %1, [[3, 1], [1, 1], [2, 0]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]], %2},

    {[[1, 0], [2, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]], %2},

    {[[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]], %1},

    {[[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]], %2},

    {[[3, 0], [2, 0], [1, 1]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]], %2},

    {[[3, 0], [2, 0], [1, 1]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]], %1}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]], %1},

    {[[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]], %1},

    {[[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]], %2},

    {[[1, 1], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]], %2},

    {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]], %2},

    {[[3, 1], [1, 0], [2, 0]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[3, 1], [1, 0], [2, 0]], %1, [[2, 1], [3, 0], [1, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]},

    {%2, [[2, 0], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 0], [2, 1]], %1, [[1, 1], [2, 1], [3, 0]]},

    {%2, [[1, 0], [3, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]},

    {%2, [[1, 0], [3, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]},

    {[[3, 0], [1, 1], [2, 0]], %1, [[1, 0], [2, 1], [3, 1]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [3, 0], [1, 1]], %1, [[2, 0], [1, 1], [3, 0]]},

    {[[1, 1], [3, 1], [2, 0]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[2, 1], [1, 0], [3, 1]], %2, [[2, 0], [3, 1], [1, 0]]},

    {[[1, 1], [3, 0], [2, 1]], %2, [[3, 0], [1, 1], [2, 0]]},

    {[[2, 0], [1, 1], [3, 1]], %2, [[3, 0], [1, 0], [2, 1]]},

    {%1, [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [3, 1], [1, 1]], %1, [[1, 0], [3, 0], [2, 1]]},

    {%1, [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 1], [2, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[1, 0], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]},

    {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]], %1},

    {[[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]], %2},

    {[[3, 0], [2, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]], %2},

    {[[1, 1], [2, 0], [3, 0]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 1]], %2},

    {[[3, 1], [2, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]], %2},

    {[[3, 0], [1, 1], [2, 0]], %1, [[1, 0], [2, 0], [3, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[1, 1], [2, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 1], [2, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]], %2},

    {[[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]], %1},

    {[[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]], %2},

    {[[1, 1], [3, 0], [2, 0]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]], %2},

    {[[2, 0], [1, 0], [3, 1]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]], %1}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 1], [3, 0]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[2, 1], [3, 1], [1, 0]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[2, 1], [3, 1], [1, 0]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 0], [2, 1]], %1, [[3, 0], [1, 1], [2, 1]]},

    {[[1, 0], [3, 1], [2, 1]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[1, 0], [3, 1], [2, 1]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[2, 1], [1, 1], [3, 0]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[3, 0], [1, 1], [2, 0]], %1, [[3, 0], [1, 1], [2, 1]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]], %2},

    {%2, [[1, 0], [2, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]], %1},

    {[[3, 0], [2, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]], %1},

    {[[3, 0], [1, 0], [2, 1]], %2, [[1, 0], [2, 0], [3, 1]]},

    {[[1, 1], [2, 0], [3, 0]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]], %1},

    {[[3, 1], [2, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 1], [2, 0]], %2, [[2, 0], [1, 1], [3, 0]]},

    {%1, [[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]]},

    {%1, [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]], %1},

    {[[2, 0], [1, 1], [3, 1]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[2, 1], [1, 0], [3, 1]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[1, 1], [3, 0], [2, 1]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[3, 1], [2, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], %2, [[3, 0], [2, 1], [1, 1]]},

    {[[2, 0], [1, 0], [3, 1]], %2, [[3, 1], [2, 1], [1, 0]]},

    {[[1, 1], [3, 0], [2, 0]], %2, [[3, 0], [2, 1], [1, 1]]},

    {[[1, 1], [3, 0], [2, 0]], %2, [[3, 1], [2, 1], [1, 0]]},

    {[[2, 0], [3, 0], [1, 1]], %1, [[1, 0], [2, 1], [3, 1]]},

    {[[2, 0], [3, 0], [1, 1]], %1, [[1, 1], [2, 1], [3, 0]]},

    {[[3, 1], [1, 0], [2, 0]], %1, [[1, 1], [2, 1], [3, 0]]},

    {[[3, 1], [1, 0], [2, 0]], %1, [[1, 0], [2, 1], [3, 1]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 1], [2, 0]], %1, [[2, 0], [1, 1], [3, 0]]},

    {%2, [[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]]},

    {%2, [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [3, 1], [1, 1]], %2, [[3, 0], [1, 1], [2, 0]]},

    {[[2, 1], [3, 0], [1, 1]], %2, [[3, 0], [1, 0], [2, 1]]},

    {[[2, 0], [1, 1], [3, 1]], %1, [[1, 0], [3, 1], [2, 0]]},

    {[[2, 1], [1, 0], [3, 1]], %1, [[1, 0], [3, 0], [2, 1]]},

    {[[1, 1], [3, 0], [2, 1]], %1, [[2, 1], [1, 0], [3, 0]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 1], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[1, 0], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [2, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 1], [2, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 0], [2, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[1, 0], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 1], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]], %3, %1},

    {%3, %1, [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 1], [3, 1]], %4, %2},

    {[[2, 0], [3, 1], [1, 1]], %4, %2}, {[[2, 1], [1, 0], [3, 1]], %4, %3},

    {%4, %3, [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]], %2, %1},

    {[[2, 1], [3, 0], [1, 1]], %2, %1}}

%1 := [[1, 0], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 0]]

%3 := [[3, 0], [2, 0], [1, 1]]

%4 := [[1, 1], [2, 0], [3, 0]]

the member , {[[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]], %1},

    {[[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]], %1},

    {[[1, 1], [3, 0], [2, 0]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[1, 1], [3, 0], [2, 0]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[2, 0], [1, 0], [3, 1]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[3, 1], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]], %1},

    {[[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 1], [3, 0], [1, 1]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[1, 1], [3, 1], [2, 0]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[2, 1], [1, 0], [3, 1]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 0], [2, 1]], %1},

    {%2, [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [3, 1], [1, 1]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]], %2},

    {[[1, 0], [2, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]], %2},

    {[[3, 0], [2, 0], [1, 1]], %1, [[1, 0], [3, 0], [2, 1]]},

    {[[3, 0], [2, 0], [1, 1]], %1, [[2, 0], [1, 1], [3, 0]]},

    {[[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]], %2},

    {[[1, 1], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]], %2},

    {[[3, 1], [2, 0], [1, 0]], %1, [[1, 0], [3, 1], [2, 0]]},

    {[[3, 1], [2, 0], [1, 0]], %1, [[2, 1], [1, 0], [3, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 1]], %2, [[2, 0], [1, 1], [3, 0]]},

    {%1, [[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]]},

    {%1, [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]], %1},

    {[[2, 1], [1, 0], [3, 1]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[2, 0], [1, 1], [3, 1]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]], %1},

    {[[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]], %1},

    {[[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]], %2},

    {[[3, 1], [1, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]], %1},

    {[[2, 0], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[1, 1], [3, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[3, 1], [1, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[1, 1], [3, 1], [2, 0]]},

    {%4, %2, [[2, 1], [1, 0], [3, 1]]}, {%4, %3, [[3, 1], [1, 1], [2, 0]]},

    {%4, %2, [[3, 1], [1, 0], [2, 1]]}, {%3, %1, [[1, 1], [3, 0], [2, 1]]},

    {%3, %1, [[2, 1], [3, 0], [1, 1]]}, {%2, %1, [[2, 0], [1, 1], [3, 1]]},

    {%2, %1, [[2, 0], [3, 1], [1, 1]]}}

%1 := [[3, 1], [1, 0], [2, 0]]

%2 := [[1, 1], [3, 0], [2, 0]]

%3 := [[2, 0], [1, 0], [3, 1]]

%4 := [[2, 0], [3, 0], [1, 1]]

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]], %3, %1},

    {%3, %1, [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]], %4, %2},

    {[[2, 1], [3, 0], [1, 1]], %4, %2}, {[[2, 0], [1, 1], [3, 1]], %4, %3},

    {%4, %3, [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]], %2, %1},

    {[[2, 0], [3, 1], [1, 1]], %2, %1}}

%1 := [[1, 0], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 0]]

%3 := [[3, 0], [2, 0], [1, 1]]

%4 := [[1, 1], [2, 0], [3, 0]]

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]]},

    {%2, [[2, 0], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 0], [2, 1]], %1, [[1, 0], [2, 1], [3, 1]]},

    {%2, [[1, 0], [3, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]},

    {%2, [[1, 0], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]},

    {[[3, 0], [1, 1], [2, 0]], %1, [[1, 1], [2, 1], [3, 0]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [2, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [2, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 1], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[1, 1], [2, 0], [3, 1]]}, {

    [[1, 0], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[2, 1], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 1], [1, 1]], %1, [[2, 0], [1, 1], [3, 0]]},

    {[[1, 1], [3, 0], [2, 1]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[2, 0], [1, 1], [3, 1]], %2, [[2, 0], [3, 1], [1, 0]]},

    {[[1, 1], [3, 1], [2, 0]], %2, [[3, 0], [1, 1], [2, 0]]},

    {[[2, 1], [1, 0], [3, 1]], %2, [[3, 0], [1, 0], [2, 1]]},

    {%1, [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 1], [3, 0], [1, 1]], %1, [[1, 0], [3, 0], [2, 1]]},

    {%1, [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 1], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [1, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [2, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}}

the member , {[[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]], %3, %1},

    {%3, %1, [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]], %4, %2},

    {[[2, 1], [3, 1], [1, 0]], %4, %2}, {[[2, 1], [1, 1], [3, 0]], %4, %3},

    {%4, %3, [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]], %2, %1},

    {[[2, 1], [3, 1], [1, 0]], %2, %1}}

%1 := [[1, 0], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 0]]

%3 := [[3, 0], [2, 0], [1, 1]]

%4 := [[1, 1], [2, 0], [3, 0]]

the member , {[[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%5, %4, %2}, {%5, %2, %1},

    {%6, %3, %4}, {%6, %3, %1}, {%6, %5, %4}, {%6, %5, %1}, {%3, %4, %2},

    {%3, %2, %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 0], [2, 0], [3, 1]]

%3 := [[3, 1], [2, 0], [1, 0]]

%4 := [[1, 1], [2, 0], [3, 1]]

%5 := [[3, 0], [2, 0], [1, 1]]

%6 := [[1, 1], [2, 0], [3, 0]]

the member , {[[3, 0], [2, 0], [1, 1]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 1]], %1, [[2, 0], [1, 1], [3, 0]]},

    {%2, [[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]]},

    {%2, [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]]},

    {[[2, 1], [3, 0], [1, 1]], %2, [[3, 0], [1, 1], [2, 0]]},

    {[[2, 0], [3, 1], [1, 1]], %2, [[3, 0], [1, 0], [2, 1]]},

    {[[2, 1], [1, 0], [3, 1]], %1, [[1, 0], [3, 1], [2, 0]]},

    {[[2, 0], [1, 1], [3, 1]], %1, [[1, 0], [3, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], %1, [[2, 1], [1, 0], [3, 0]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [2, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 1], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[1, 0], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], %2, [[3, 0], [1, 1], [2, 1]]},

    {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]], %2},

    {[[1, 1], [3, 0], [2, 0]], %2, [[3, 0], [1, 1], [2, 1]]},

    {[[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 1]], %1},

    {[[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]], %1},

    {[[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]], %1},

    {[[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [3, 1], [1, 1]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[1, 1], [3, 0], [2, 1]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[2, 0], [1, 1], [3, 1]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]], %1},

    {%2, [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 1], [3, 0], [1, 1]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]], %3, %1},

    {[[2, 0], [1, 1], [3, 1]], %3, %1}, {[[1, 1], [3, 1], [2, 0]], %4, %2},

    {%4, %2, [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 1]], %4, %3},

    {[[2, 1], [3, 0], [1, 1]], %4, %3}, {[[2, 1], [1, 0], [3, 1]], %2, %1},

    {%2, %1, [[3, 1], [1, 0], [2, 1]]}}

%1 := [[1, 0], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 0]]

%3 := [[3, 0], [2, 0], [1, 1]]

%4 := [[1, 1], [2, 0], [3, 0]]

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]},

    {%2, [[2, 1], [3, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]]},

    {%2, [[2, 0], [3, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]},

    {%2, [[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]},

    {%2, [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[3, 0], [2, 1], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 0], [2, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[1, 0], [3, 1], [2, 1]]},

    {%4, %2, [[2, 1], [1, 1], [3, 0]]}, {%4, %3, [[3, 0], [1, 1], [2, 1]]},

    {%4, %2, [[3, 0], [1, 1], [2, 1]]}, {%3, %1, [[1, 0], [3, 1], [2, 1]]},

    {%3, %1, [[2, 1], [3, 1], [1, 0]]}, {%2, %1, [[2, 1], [1, 1], [3, 0]]},

    {%2, %1, [[2, 1], [3, 1], [1, 0]]}}

%1 := [[3, 1], [1, 0], [2, 0]]

%2 := [[1, 1], [3, 0], [2, 0]]

%3 := [[2, 0], [1, 0], [3, 1]]

%4 := [[2, 0], [3, 0], [1, 1]]

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 0], [2, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, {[[1, 1], [2, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[1, 1], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 0], [2, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 1], [2, 1]], %2, [[2, 0], [1, 1], [3, 0]]},

    {%1, [[2, 1], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]]},

    {%1, [[2, 0], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]], %1},

    {[[2, 1], [1, 1], [3, 0]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[2, 1], [1, 1], [3, 0]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[1, 0], [3, 1], [2, 1]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[3, 1], [1, 1], [2, 0]]},

    {%4, %3, [[3, 1], [1, 0], [2, 1]]}, {%4, %3, [[2, 1], [3, 0], [1, 1]]},

    {%4, %3, [[2, 0], [3, 1], [1, 1]]}, {%2, %1, [[2, 0], [1, 1], [3, 1]]},

    {%2, %1, [[1, 1], [3, 1], [2, 0]]}, {%2, %1, [[1, 1], [3, 0], [2, 1]]},

    {%2, %1, [[2, 1], [1, 0], [3, 1]]}}

%1 := [[1, 1], [3, 0], [2, 0]]

%2 := [[2, 0], [1, 0], [3, 1]]

%3 := [[3, 1], [1, 0], [2, 0]]

%4 := [[2, 0], [3, 0], [1, 1]]

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%2, [[2, 0], [1, 1], [3, 0]], %1},

    {%4, %3, [[2, 1], [3, 0], [1, 0]]}, {%4, %3, [[2, 0], [3, 1], [1, 0]]},

    {%4, [[3, 0], [1, 1], [2, 0]], %3}, {%4, [[3, 0], [1, 0], [2, 1]], %3},

    {%2, [[1, 0], [3, 1], [2, 0]], %1}, {%2, [[1, 0], [3, 0], [2, 1]], %1},

    {%2, [[2, 1], [1, 0], [3, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[3, 0], [2, 1], [1, 0]]

%3 := [[1, 1], [2, 0], [3, 1]]

%4 := [[1, 0], [2, 1], [3, 0]]

the member , {[[3, 0], [2, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 1], [3, 0]], %1, [[2, 0], [1, 1], [3, 0]]},

    {[[2, 1], [3, 1], [1, 0]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[2, 1], [3, 1], [1, 0]], %2, [[2, 0], [3, 1], [1, 0]]},

    {%2, [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]},

    {%2, [[3, 0], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]},

    {[[1, 0], [3, 1], [2, 1]], %1, [[1, 0], [3, 1], [2, 0]]},

    {[[1, 0], [3, 1], [2, 1]], %1, [[1, 0], [3, 0], [2, 1]]},

    {[[2, 1], [1, 1], [3, 0]], %1, [[2, 1], [1, 0], [3, 0]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]], %2},

    {[[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]], %2},

    {[[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]], %1},

    {[[1, 1], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]], %2},

    {[[1, 1], [2, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]], %2},

    {[[3, 1], [2, 0], [1, 0]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[3, 1], [2, 0], [1, 0]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]], %1}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]},

    {%1, [[2, 1], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]], %2},

    {[[2, 0], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]], %2},

    {[[3, 0], [1, 0], [2, 1]], %1, [[2, 0], [1, 1], [3, 0]]},

    {[[1, 0], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]], %2},

    {[[3, 0], [1, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]], %2},

    {[[3, 0], [1, 1], [2, 0]], %1, [[1, 0], [3, 0], [2, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[1, 1], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 1], [2, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 0], [2, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%3, [[1, 0], [2, 1], [3, 1]], %1},

    {%3, %1, [[3, 0], [2, 1], [1, 1]]}, {%4, %2, [[1, 1], [2, 1], [3, 0]]},

    {%4, %2, [[3, 1], [2, 1], [1, 0]]}, {%4, %3, [[1, 1], [2, 1], [3, 0]]},

    {%4, %3, [[3, 0], [2, 1], [1, 1]]}, {%2, [[1, 0], [2, 1], [3, 1]], %1},

    {%2, %1, [[3, 1], [2, 1], [1, 0]]}}

%1 := [[1, 0], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 0]]

%3 := [[3, 0], [2, 0], [1, 1]]

%4 := [[1, 1], [2, 0], [3, 0]]

the member , {[[3, 0], [2, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [2, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]]}}

the member , {[[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 0], [1, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 1], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]], %3, %1},

    {[[2, 1], [3, 1], [1, 0]], %3, %1}, {[[1, 0], [3, 1], [2, 1]], %4, %2},

    {%4, %2, [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]], %4, %3},

    {[[2, 1], [3, 1], [1, 0]], %4, %3}, {[[2, 1], [1, 1], [3, 0]], %2, %1},

    {%2, %1, [[3, 0], [1, 1], [2, 1]]}}

%1 := [[1, 0], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 0]]

%3 := [[3, 0], [2, 0], [1, 1]]

%4 := [[1, 1], [2, 0], [3, 0]]

the member , {[[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[1, 0], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[1, 0], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]], %1},

    {[[2, 1], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]], %1},

    {[[3, 0], [1, 0], [2, 1]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]], %1},

    {[[3, 0], [1, 1], [2, 0]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[3, 0], [1, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[1, 1], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]], %2},

    {[[2, 0], [1, 0], [3, 1]], %1, [[2, 0], [1, 1], [3, 0]]},

    {[[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]], %2},

    {[[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]], %2},

    {[[1, 1], [3, 0], [2, 0]], %1, [[1, 0], [3, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 0]], %1, [[1, 0], [3, 0], [2, 1]]},

    {[[2, 0], [1, 0], [3, 1]], %1, [[2, 1], [1, 0], [3, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [1, 1], [3, 0]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[1, 0], [3, 1], [2, 1]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 0], [2, 1]], %1},

    {[[2, 1], [3, 1], [1, 0]], %2, [[1, 0], [3, 1], [2, 0]]},

    {%2, [[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [3, 1], [1, 0]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]], %1},

    {[[1, 0], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]], %1},

    {[[3, 0], [2, 0], [1, 1]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[3, 0], [2, 0], [1, 1]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[1, 1], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]], %1},

    {[[3, 1], [2, 0], [1, 0]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[3, 1], [2, 0], [1, 0]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 0], [3, 1]], %1, [[2, 0], [1, 1], [3, 0]]},

    {[[2, 0], [3, 1], [1, 1]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[2, 1], [3, 0], [1, 1]], %2, [[2, 0], [3, 1], [1, 0]]},

    {%2, [[3, 0], [1, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]},

    {%2, [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 1]], %1, [[1, 0], [3, 1], [2, 0]]},

    {[[1, 1], [3, 1], [2, 0]], %1, [[1, 0], [3, 0], [2, 1]]},

    {[[2, 0], [1, 1], [3, 1]], %1, [[2, 1], [1, 0], [3, 0]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[3, 1], [2, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[2, 0], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]},

    {%2, [[3, 0], [1, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]]},

    {%2, [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]]},

    {%1, [[1, 0], [3, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]},

    {%1, [[1, 0], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]},

    {%1, [[2, 1], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[3, 0], [2, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 1], [2, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[3, 1], [2, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]], %2},

    {[[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]], %2},

    {[[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]], %2},

    {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]], %1},

    {[[2, 0], [1, 0], [3, 1]], %1, [[3, 0], [1, 1], [2, 1]]},

    {[[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]], %1},

    {[[1, 1], [3, 0], [2, 0]], %1, [[3, 0], [1, 1], [2, 1]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}}

the member , {[[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 1], [2, 1]], %1, [[2, 0], [1, 1], [3, 0]]},

    {%2, [[2, 1], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]]},

    {%2, [[2, 0], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [3, 1], [1, 0]], %2, [[3, 0], [1, 1], [2, 0]]},

    {[[2, 1], [3, 1], [1, 0]], %2, [[3, 0], [1, 0], [2, 1]]},

    {[[2, 1], [1, 1], [3, 0]], %1, [[1, 0], [3, 1], [2, 0]]},

    {[[2, 1], [1, 1], [3, 0]], %1, [[1, 0], [3, 0], [2, 1]]},

    {[[1, 0], [3, 1], [2, 1]], %1, [[2, 1], [1, 0], [3, 0]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 1], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[1, 0], [3, 1], [2, 1]], %2, [[3, 0], [2, 0], [1, 1]]},

    {[[2, 1], [1, 1], [3, 0]], %2, [[3, 0], [2, 0], [1, 1]]},

    {[[2, 1], [3, 1], [1, 0]], %1, [[1, 0], [2, 0], [3, 1]]},

    {%1, [[1, 0], [2, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]], %1},

    {[[1, 1], [2, 0], [3, 0]], %1, [[3, 0], [1, 1], [2, 1]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 1], [2, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 0], [2, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[1, 1], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[2, 1], [3, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]]},

    {%1, [[2, 0], [3, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]},

    {[[3, 0], [1, 0], [2, 1]], %1, [[3, 0], [2, 1], [1, 1]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]},

    {[[3, 0], [1, 1], [2, 0]], %1, [[3, 0], [2, 1], [1, 1]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[2, 0], [1, 1], [3, 1]], %2, [[3, 0], [2, 0], [1, 1]]},

    {[[1, 1], [3, 0], [2, 1]], %2, [[3, 0], [2, 0], [1, 1]]},

    {[[2, 0], [3, 1], [1, 1]], %1, [[1, 0], [2, 0], [3, 1]]},

    {%1, [[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]]},

    {[[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]], %1},

    {[[1, 1], [2, 0], [3, 0]], %1, [[3, 1], [1, 1], [2, 0]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[2, 1], [1, 0], [3, 1]], %2, [[3, 0], [2, 0], [1, 1]]},

    {[[1, 1], [3, 1], [2, 0]], %2, [[3, 0], [2, 0], [1, 1]]},

    {[[2, 1], [3, 0], [1, 1]], %1, [[1, 0], [2, 0], [3, 1]]},

    {%1, [[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]], %1},

    {[[1, 1], [2, 0], [3, 0]], %1, [[3, 1], [1, 0], [2, 1]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [2, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]], %2},

    {%2, [[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]]},

    {%2, [[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], %1, [[1, 0], [2, 0], [3, 1]]},

    {[[1, 1], [3, 0], [2, 1]], %1, [[1, 0], [2, 0], [3, 1]]},

    {[[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]], %1},

    {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [1, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[1, 0], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 1], [1, 0], [3, 1]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[1, 1], [3, 1], [2, 0]], %2, [[2, 0], [3, 1], [1, 0]]},

    {[[2, 0], [1, 1], [3, 1]], %2, [[3, 0], [1, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 1]], %2, [[3, 0], [1, 0], [2, 1]]},

    {[[2, 0], [3, 1], [1, 1]], %1, [[1, 0], [3, 1], [2, 0]]},

    {%1, [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]},

    {[[2, 1], [3, 0], [1, 1]], %1, [[2, 1], [1, 0], [3, 0]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[3, 0], [2, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]], %2, %1},

    {[[2, 1], [1, 1], [3, 0]], %2, %1}, {[[2, 1], [3, 1], [1, 0]], %2, %1},

    {%2, %1, [[3, 0], [1, 1], [2, 1]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[3, 1], [2, 1], [1, 0]]},

    {%4, %3, [[1, 1], [2, 1], [3, 0]]}, {%4, %2, [[1, 0], [2, 1], [3, 1]]},

    {%4, %2, [[3, 1], [2, 1], [1, 0]]}, {%3, %1, [[1, 1], [2, 1], [3, 0]]},

    {%3, %1, [[3, 0], [2, 1], [1, 1]]}, {%2, %1, [[1, 0], [2, 1], [3, 1]]},

    {%2, %1, [[3, 0], [2, 1], [1, 1]]}}

%1 := [[3, 1], [1, 0], [2, 0]]

%2 := [[1, 1], [3, 0], [2, 0]]

%3 := [[2, 0], [1, 0], [3, 1]]

%4 := [[2, 0], [3, 0], [1, 1]]

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]], %2},

    {[[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]], %2},

    {[[2, 1], [1, 0], [3, 1]], %2, [[1, 0], [2, 0], [3, 1]]},

    {[[2, 0], [1, 1], [3, 1]], %2, [[1, 0], [2, 0], [3, 1]]},

    {%1, [[3, 1], [2, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]]},

    {%1, [[3, 1], [2, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [3, 1], [1, 1]], %1, [[3, 0], [2, 0], [1, 1]]},

    {[[2, 1], [3, 0], [1, 1]], %1, [[3, 0], [2, 0], [1, 1]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[2, 0], [1, 1], [3, 0]]},

    {%2, [[2, 1], [3, 0], [1, 0]], %1}, {%2, [[2, 0], [3, 1], [1, 0]], %1},

    {[[3, 0], [1, 0], [2, 1]], %2, %1}, {%4, %3, [[1, 0], [3, 1], [2, 0]]},

    {%4, %3, [[1, 0], [3, 0], [2, 1]]}, {%4, %3, [[2, 1], [1, 0], [3, 0]]},

    {[[3, 0], [1, 1], [2, 0]], %2, %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[3, 0], [2, 1], [1, 0]]

%3 := [[1, 1], [2, 0], [3, 1]]

%4 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [3, 1], [1, 0]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[1, 0], [3, 1], [2, 1]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[2, 1], [1, 1], [3, 0]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]], %1},

    {%2, [[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [3, 1], [1, 0]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 1], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [2, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 1], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 1]], %2, [[1, 0], [2, 1], [3, 1]]},

    {[[2, 0], [3, 0], [1, 1]], %2, [[1, 1], [2, 1], [3, 0]]},

    {[[3, 1], [1, 0], [2, 0]], %2, [[1, 1], [2, 1], [3, 0]]},

    {[[3, 1], [1, 0], [2, 0]], %2, [[1, 0], [2, 1], [3, 1]]},

    {[[2, 0], [1, 0], [3, 1]], %1, [[3, 0], [2, 1], [1, 1]]},

    {[[2, 0], [1, 0], [3, 1]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[1, 1], [3, 0], [2, 0]], %1, [[3, 0], [2, 1], [1, 1]]},

    {[[1, 1], [3, 0], [2, 0]], %1, [[3, 1], [2, 1], [1, 0]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[1, 0], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]], %3, %1},

    {[[2, 1], [3, 0], [1, 1]], %3, %1}, {[[1, 1], [3, 0], [2, 1]], %4, %2},

    {%4, %2, [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]], %4, %3},

    {[[2, 0], [3, 1], [1, 1]], %4, %3}, {[[2, 0], [1, 1], [3, 1]], %2, %1},

    {%2, %1, [[3, 1], [1, 1], [2, 0]]}}

%1 := [[1, 0], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 0]]

%3 := [[3, 0], [2, 0], [1, 1]]

%4 := [[1, 1], [2, 0], [3, 0]]

the member , {[[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [1, 1], [3, 1]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[1, 1], [3, 0], [2, 1]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]], %1},

    {[[2, 1], [3, 0], [1, 1]], %2, [[1, 0], [3, 1], [2, 0]]},

    {%2, [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [3, 1], [1, 1]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 1]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[2, 0], [3, 0], [1, 1]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]], %1},

    {[[3, 1], [1, 0], [2, 0]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[1, 1], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 0]], %1},

    {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]], %1},

    {[[3, 1], [1, 0], [2, 0]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]], %2},

    {[[1, 1], [2, 0], [3, 0]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [3, 1], [1, 1]], %2, [[1, 0], [2, 0], [3, 1]]},

    {%2, [[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], %1, [[3, 1], [2, 0], [1, 0]]},

    {[[2, 1], [1, 0], [3, 1]], %1, [[3, 1], [2, 0], [1, 0]]},

    {[[1, 1], [3, 0], [2, 1]], %1, [[3, 0], [2, 0], [1, 1]]},

    {[[2, 0], [1, 1], [3, 1]], %1, [[3, 0], [2, 0], [1, 1]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[3, 1], [1, 0], [2, 0]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[3, 1], [1, 0], [2, 0]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 1]], %1},

    {[[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]], %1},

    {[[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]], %1},

    {[[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 0], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 1], [2, 0], [1, 0]], %2, [[1, 0], [2, 1], [3, 1]]},

    {[[3, 1], [2, 0], [1, 0]], %2, [[1, 1], [2, 1], [3, 0]]},

    {%2, [[3, 0], [2, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]]},

    {%2, [[3, 0], [2, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]]},

    {%1, [[1, 0], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]},

    {%1, [[1, 0], [2, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]},

    {[[1, 1], [2, 0], [3, 0]], %1, [[3, 0], [2, 1], [1, 1]]},

    {[[1, 1], [2, 0], [3, 0]], %1, [[3, 1], [2, 1], [1, 0]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [1, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]},

    {%2, [[1, 0], [2, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]]},

    {[[1, 1], [2, 0], [3, 0]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]], %1},

    {[[1, 1], [2, 0], [3, 0]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[3, 0], [2, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]], %1},

    {[[3, 0], [2, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]], %1},

    {[[3, 0], [1, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[1, 1], [2, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]], %1},

    {[[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], %1, [[1, 0], [2, 0], [3, 1]]},

    {[[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]], %2},

    {[[3, 1], [1, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]], %1},

    {[[2, 0], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[1, 1], [3, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[3, 1], [1, 0], [2, 0]], %1, [[1, 0], [2, 0], [3, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 1], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]},

    {%1, [[2, 1], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]]},

    {%1, [[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]},

    {[[3, 0], [1, 0], [2, 1]], %1, [[3, 1], [2, 1], [1, 0]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]},

    {[[3, 0], [1, 1], [2, 0]], %1, [[3, 1], [2, 1], [1, 0]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]], %2},

    {[[1, 1], [2, 0], [3, 0]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[2, 1], [3, 0], [1, 1]], %2, [[1, 0], [2, 0], [3, 1]]},

    {%2, [[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [1, 1], [3, 1]], %1, [[3, 1], [2, 0], [1, 0]]},

    {[[1, 1], [3, 0], [2, 1]], %1, [[3, 1], [2, 0], [1, 0]]},

    {[[2, 1], [1, 0], [3, 1]], %1, [[3, 0], [2, 0], [1, 1]]},

    {[[1, 1], [3, 1], [2, 0]], %1, [[3, 0], [2, 0], [1, 1]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 0]]}, {

    [[3, 0], [2, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [1, 1], [3, 1]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[1, 1], [3, 0], [2, 1]], %2, [[2, 0], [3, 1], [1, 0]]},

    {[[2, 1], [1, 0], [3, 1]], %2, [[3, 0], [1, 1], [2, 0]]},

    {[[1, 1], [3, 1], [2, 0]], %2, [[3, 0], [1, 0], [2, 1]]},

    {[[2, 1], [3, 0], [1, 1]], %1, [[1, 0], [3, 1], [2, 0]]},

    {%1, [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [3, 1], [1, 1]], %1, [[2, 1], [1, 0], [3, 0]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[3, 0], [2, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 1], [2, 0]], %2},

    {[[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]], %2},

    {[[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]], %2},

    {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]], %1},

    {[[2, 0], [1, 0], [3, 1]], %1, [[3, 1], [1, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]], %1},

    {[[1, 1], [3, 0], [2, 0]], %1, [[3, 1], [1, 0], [2, 1]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 1]], %2, [[1, 0], [3, 0], [2, 1]]},

    {[[2, 0], [3, 0], [1, 1]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]], %1},

    {[[3, 1], [1, 0], [2, 0]], %2, [[1, 0], [3, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]], %1},

    {[[3, 1], [1, 0], [2, 0]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]], %1},

    {[[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[3, 0], [2, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 0], [2, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 1], [1, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 0], [2, 1]], %2},

    {[[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]], %2},

    {[[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]], %2},

    {[[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]], %1},

    {[[2, 0], [1, 0], [3, 1]], %1, [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]], %1},

    {[[1, 1], [3, 0], [2, 0]], %1, [[3, 1], [1, 1], [2, 0]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [2, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 0], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]], %2},

    {[[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]], %2},

    {[[1, 1], [3, 1], [2, 0]], %2, [[1, 0], [2, 0], [3, 1]]},

    {[[1, 1], [3, 0], [2, 1]], %2, [[1, 0], [2, 0], [3, 1]]},

    {[[2, 0], [3, 1], [1, 1]], %1, [[3, 1], [2, 0], [1, 0]]},

    {[[2, 1], [3, 0], [1, 1]], %1, [[3, 1], [2, 0], [1, 0]]},

    {%1, [[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]]},

    {%1, [[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, {[[3, 0], [1, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 1], [2, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[1, 1], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [2, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 0], [2, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [2, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [2, 0], [3, 0]], %2, [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]], %2},

    {[[2, 1], [3, 1], [1, 0]], %2, [[1, 0], [2, 0], [3, 1]]},

    {%2, [[1, 0], [2, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]]},

    {[[1, 0], [3, 1], [2, 1]], %1, [[3, 1], [2, 0], [1, 0]]},

    {[[2, 1], [1, 1], [3, 0]], %1, [[3, 1], [2, 0], [1, 0]]},

    {[[1, 0], [3, 1], [2, 1]], %1, [[3, 0], [2, 0], [1, 1]]},

    {[[2, 1], [1, 1], [3, 0]], %1, [[3, 0], [2, 0], [1, 1]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%6, %5, %4}, {%6, %5, %1},

    {%6, %3, %4}, {%6, %3, %1}, {%5, %2, %4}, {%5, %2, %1}, {%3, %2, %4},

    {%3, %2, %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[3, 1], [1, 0], [2, 0]]

%3 := [[1, 1], [3, 0], [2, 0]]

%4 := [[1, 1], [2, 0], [3, 1]]

%5 := [[2, 0], [1, 0], [3, 1]]

%6 := [[2, 0], [3, 0], [1, 1]]

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 1]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]], %1},

    {%2, [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]]},

    {%2, [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]},

    {[[1, 1], [2, 0], [3, 0]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]], %1},

    {[[1, 1], [2, 0], [3, 0]], %2, [[2, 0], [1, 1], [3, 0]]},

    {[[3, 1], [2, 0], [1, 0]], [[2, 1], [3, 0], [1, 0]], %1},

    {[[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 1], [2, 0], [1, 0]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[3, 1], [2, 0], [1, 0]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[2, 1], [3, 0], [1, 1]], %2, [[3, 0], [2, 0], [1, 1]]},

    {[[2, 0], [3, 1], [1, 1]], %2, [[3, 0], [2, 0], [1, 1]]},

    {[[2, 0], [1, 1], [3, 1]], %1, [[1, 0], [2, 0], [3, 1]]},

    {[[2, 1], [1, 0], [3, 1]], %1, [[1, 0], [2, 0], [3, 1]]},

    {[[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]], %1},

    {[[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[3, 0], [2, 1], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[1, 0], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 1], [2, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[1, 0], [2, 1], [3, 1]]},

    {%4, %3, [[3, 0], [2, 1], [1, 1]]}, {%4, %2, [[1, 1], [2, 1], [3, 0]]},

    {%4, %2, [[3, 0], [2, 1], [1, 1]]}, {%3, %1, [[1, 0], [2, 1], [3, 1]]},

    {%3, %1, [[3, 1], [2, 1], [1, 0]]}, {%2, %1, [[1, 1], [2, 1], [3, 0]]},

    {%2, %1, [[3, 1], [2, 1], [1, 0]]}}

%1 := [[3, 1], [1, 0], [2, 0]]

%2 := [[1, 1], [3, 0], [2, 0]]

%3 := [[2, 0], [1, 0], [3, 1]]

%4 := [[2, 0], [3, 0], [1, 1]]

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[1, 1], [3, 0], [2, 1]]},

    {%4, %2, [[2, 0], [1, 1], [3, 1]]}, {%4, %3, [[3, 1], [1, 0], [2, 1]]},

    {%4, %2, [[3, 1], [1, 1], [2, 0]]}, {%3, %1, [[1, 1], [3, 1], [2, 0]]},

    {%3, %1, [[2, 0], [3, 1], [1, 1]]}, {%2, %1, [[2, 1], [1, 0], [3, 1]]},

    {%2, %1, [[2, 1], [3, 0], [1, 1]]}}

%1 := [[3, 1], [1, 0], [2, 0]]

%2 := [[1, 1], [3, 0], [2, 0]]

%3 := [[2, 0], [1, 0], [3, 1]]

%4 := [[2, 0], [3, 0], [1, 1]]

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 1], [2, 0], [1, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[3, 0], [2, 1], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[1, 0], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[2, 0], [1, 0], [3, 1]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 0], [2, 0]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]], %1},

    {[[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 0], [2, 1]], %1},

    {[[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]], %1},

    {[[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [1, 1], [3, 0]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[1, 0], [3, 1], [2, 1]], %2, [[2, 0], [3, 1], [1, 0]]},

    {[[2, 1], [1, 1], [3, 0]], %2, [[3, 0], [1, 1], [2, 0]]},

    {[[1, 0], [3, 1], [2, 1]], %2, [[3, 0], [1, 0], [2, 1]]},

    {[[2, 1], [3, 1], [1, 0]], %1, [[1, 0], [3, 1], [2, 0]]},

    {%1, [[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [3, 1], [1, 0]], %1, [[2, 1], [1, 0], [3, 0]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[3, 0], [2, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[2, 1], [3, 1], [1, 0]]},

    {%4, %3, [[2, 1], [1, 1], [3, 0]]}, {%4, %2, [[1, 0], [3, 1], [2, 1]]},

    {%4, %2, [[2, 1], [3, 1], [1, 0]]}, {%3, %1, [[2, 1], [1, 1], [3, 0]]},

    {%3, %1, [[3, 0], [1, 1], [2, 1]]}, {%2, %1, [[1, 0], [3, 1], [2, 1]]},

    {%2, %1, [[3, 0], [1, 1], [2, 1]]}}

%1 := [[3, 1], [1, 0], [2, 0]]

%2 := [[1, 1], [3, 0], [2, 0]]

%3 := [[2, 0], [1, 0], [3, 1]]

%4 := [[2, 0], [3, 0], [1, 1]]

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[3, 0], [2, 1], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[1, 0], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 0]],

    [[1, 1], [2, 1], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 1]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [2, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[3, 0], [1, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]], %2},

    {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 1]], %2},

    {[[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]], %2},

    {[[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 1]], %1},

    {[[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 1]], %1},

    {[[3, 1], [1, 0], [2, 0]], %1, [[3, 1], [1, 1], [2, 0]]},

    {[[3, 1], [1, 0], [2, 0]], %1, [[3, 1], [1, 0], [2, 1]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[3, 0], [2, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 1]]}, {[[1, 0], [2, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%2, [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 1], [1, 0], [3, 1]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[1, 1], [3, 1], [2, 0]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]], %1},

    {[[2, 0], [3, 1], [1, 1]], %2, [[1, 0], [3, 1], [2, 0]]},

    {%2, [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]},

    {[[2, 1], [3, 0], [1, 1]], %2, [[2, 1], [1, 0], [3, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 0], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [2, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 1]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [3, 0], [1, 1]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[3, 1], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]], %1},

    {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]], %1},

    {[[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]], %1},

    {[[1, 1], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [1, 0], [2, 1]], %1, [[2, 1], [1, 0], [3, 0]]},

    {[[3, 0], [1, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]], %2},

    {%1, [[2, 0], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[2, 0], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]], %2},

    {%1, [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]},

    {[[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]], %2},

    {[[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]], %2},

    {[[3, 0], [1, 1], [2, 0]], %1, [[1, 0], [3, 1], [2, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[3, 0], [1, 0], [2, 1]], [[1, 1], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[3, 0], [2, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[3, 0], [2, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [2, 0], [3, 0]], %2, [[3, 0], [2, 1], [1, 1]]},

    {[[1, 1], [2, 0], [3, 0]], %2, [[3, 1], [2, 1], [1, 0]]},

    {%2, [[1, 0], [2, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]},

    {%2, [[1, 0], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]},

    {%1, [[3, 1], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]]},

    {%1, [[3, 1], [2, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]]},

    {%1, [[3, 0], [2, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]]},

    {%1, [[3, 0], [2, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [2, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[2, 1], [3, 0], [1, 1]]},

    {%4, %3, [[2, 1], [1, 0], [3, 1]]}, {%4, %2, [[1, 1], [3, 1], [2, 0]]},

    {%4, %2, [[2, 0], [3, 1], [1, 1]]}, {%3, %1, [[2, 0], [1, 1], [3, 1]]},

    {%3, %1, [[3, 1], [1, 1], [2, 0]]}, {%2, %1, [[1, 1], [3, 0], [2, 1]]},

    {%2, %1, [[3, 1], [1, 0], [2, 1]]}}

%1 := [[3, 1], [1, 0], [2, 0]]

%2 := [[1, 1], [3, 0], [2, 0]]

%3 := [[2, 0], [1, 0], [3, 1]]

%4 := [[2, 0], [3, 0], [1, 1]]

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {%1, [[2, 0], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]},

    {%2, [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]]},

    {%2, [[3, 0], [1, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]]},

    {%1, [[1, 0], [3, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]},

    {%1, [[1, 0], [3, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]},

    {%1, [[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[3, 0], [2, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 1], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [2, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 0], [2, 1], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}}

the member , {[[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 0], [2, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]], %2},

    {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]], %2},

    {[[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]], %2},

    {[[1, 1], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], %1, [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [3, 0], [1, 1]], %1, [[3, 1], [1, 1], [2, 0]]},

    {[[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]], %1},

    {[[3, 1], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [2, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 0], [2, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 0]],

    [[1, 1], [2, 1], [3, 0]]}}

the member , {[[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 0], [2, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[2, 0], [3, 1], [1, 1]]},

    {%4, %3, [[2, 0], [1, 1], [3, 1]]}, {%4, %2, [[1, 1], [3, 0], [2, 1]]},

    {%4, %2, [[2, 1], [3, 0], [1, 1]]}, {%3, %1, [[2, 1], [1, 0], [3, 1]]},

    {%3, %1, [[3, 1], [1, 0], [2, 1]]}, {%2, %1, [[1, 1], [3, 1], [2, 0]]},

    {%2, %1, [[3, 1], [1, 1], [2, 0]]}}

%1 := [[3, 1], [1, 0], [2, 0]]

%2 := [[1, 1], [3, 0], [2, 0]]

%3 := [[2, 0], [1, 0], [3, 1]]

%4 := [[2, 0], [3, 0], [1, 1]]

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 1], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 1], [2, 1], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 1], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, {[[1, 0], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 1]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%2, %1, [[2, 0], [1, 1], [3, 0]]},

    {%4, [[2, 1], [3, 0], [1, 0]], %3}, {%4, [[2, 0], [3, 1], [1, 0]], %3},

    {%4, [[3, 0], [1, 1], [2, 0]], %3}, {%4, [[3, 0], [1, 0], [2, 1]], %3},

    {%2, %1, [[1, 0], [3, 1], [2, 0]]}, {%2, %1, [[1, 0], [3, 0], [2, 1]]},

    {%2, %1, [[2, 1], [1, 0], [3, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 0], [2, 1], [1, 0]]

%3 := [[3, 1], [2, 0], [1, 1]]

%4 := [[1, 0], [2, 1], [3, 0]]

the member , {[[3, 0], [2, 1], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [1, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 1]]}, {[[1, 0], [2, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 1]]}}

the member , {[[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, {[[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 1], [2, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[1, 1], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [2, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [2, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 0], [2, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]], %2, %1},

    {[[1, 1], [3, 0], [2, 1]], %2, %1}, {[[2, 1], [1, 0], [3, 1]], %2, %1},

    {[[2, 0], [1, 1], [3, 1]], %2, %1}, {[[2, 0], [3, 1], [1, 1]], %2, %1},

    {[[2, 1], [3, 0], [1, 1]], %2, %1}, {%2, %1, [[3, 1], [1, 1], [2, 0]]},

    {%2, %1, [[3, 1], [1, 0], [2, 1]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]], %2},

    {[[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 0], [2, 1]], %1},

    {[[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 0], [2, 1]], %2},

    {[[1, 1], [3, 0], [2, 0]], %1, [[2, 0], [3, 1], [1, 0]]},

    {[[2, 0], [1, 0], [3, 1]], %1, [[2, 1], [3, 0], [1, 0]]},

    {[[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 0]], %2},

    {[[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]], %1}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 0], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]], %2},

    {[[2, 1], [1, 0], [3, 0]], [[2, 0], [3, 1], [1, 0]], %2},

    {[[3, 0], [1, 0], [2, 1]], %1, [[1, 0], [3, 1], [2, 0]]},

    {%1, [[2, 0], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]},

    {[[3, 0], [1, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]], %2},

    {%1, [[1, 0], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]], %2},

    {[[3, 0], [1, 1], [2, 0]], %1, [[2, 1], [1, 0], [3, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[1, 0], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [3, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]], %4, %3},

    {[[1, 1], [3, 0], [2, 1]], %4, %3}, {[[2, 1], [1, 0], [3, 1]], %4, %3},

    {[[2, 0], [1, 1], [3, 1]], %4, %3}, {[[2, 1], [3, 0], [1, 1]], %2, %1},

    {[[2, 0], [3, 1], [1, 1]], %2, %1}, {%2, %1, [[3, 1], [1, 0], [2, 1]]},

    {%2, %1, [[3, 1], [1, 1], [2, 0]]}}

%1 := [[1, 0], [2, 0], [3, 1]]

%2 := [[1, 1], [2, 0], [3, 0]]

%3 := [[3, 0], [2, 0], [1, 1]]

%4 := [[3, 1], [2, 0], [1, 0]]

the member , {[[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 0], [1, 1]], [[1, 1], [2, 0], [3, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]], %4, %3},

    {[[2, 0], [3, 1], [1, 1]], %4, %3}, {[[2, 0], [1, 1], [3, 1]], %2, %1},

    {[[1, 1], [3, 1], [2, 0]], %2, %1}, {[[1, 1], [3, 0], [2, 1]], %2, %1},

    {%4, %3, [[3, 1], [1, 1], [2, 0]]}, {%4, %3, [[3, 1], [1, 0], [2, 1]]},

    {[[2, 1], [1, 0], [3, 1]], %2, %1}}

%1 := [[1, 0], [2, 0], [3, 1]]

%2 := [[1, 1], [2, 0], [3, 0]]

%3 := [[3, 0], [2, 0], [1, 1]]

%4 := [[3, 1], [2, 0], [1, 0]]

the member , {[[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [3, 0], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[3, 0], [2, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

                        Out of a total of , 378, cases

                     378, were successful and , 0, failed

                               Success Rate: , 1.

                             Here are the failures

                                       {}

                                       {}

             "for patterns of lengths: ", [[3, 1], [3, 2], [3, 2]]

            There all together, 378, different equivalence classes

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]], %2},

    {[[2, 1], [1, 0], [3, 1]], %2, [[2, 0], [3, 1], [1, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 0], [2, 1]], %2},

    {[[1, 1], [3, 1], [2, 0]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]], %1},

    {[[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]], %1},

    {[[2, 1], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]], %1},

    {[[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 0], [2, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 1], [2, 1], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]], %2},

    {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]], %1},

    {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]], %1},

    {[[3, 1], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]], %1},

    {[[1, 1], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]], %1}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 1], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}, {[[1, 0], [2, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 1], [2, 0], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 1]], %1},

    {[[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]], %1},

    {[[3, 1], [1, 0], [2, 0]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[3, 1], [1, 0], [2, 0]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]], %1},

    {[[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%3, [[2, 0], [1, 1], [3, 0]], %4},

    {[[3, 0], [1, 1], [2, 0]], %2, %1}, {%3, [[2, 0], [3, 1], [1, 0]], %4},

    {[[3, 0], [1, 0], [2, 1]], %3, %1}, {%2, [[2, 1], [3, 0], [1, 0]], %4},

    {%2, [[1, 0], [3, 0], [2, 1]], %4}, {%3, [[2, 1], [1, 0], [3, 0]], %1},

    {%2, [[1, 0], [3, 1], [2, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 1]]

%2 := [[1, 0], [2, 1], [3, 1]]

%3 := [[1, 1], [2, 1], [3, 0]]

%4 := [[3, 1], [2, 1], [1, 0]]

the member , {[[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 1]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[2, 0], [1, 1], [3, 1]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[1, 1], [3, 0], [2, 1]], %1, [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [1, 1], [3, 1]], %1, [[3, 1], [1, 1], [2, 0]]},

    {[[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]], %1},

    {[[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 1], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[3, 0], [1, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[3, 0], [2, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 0], [2, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[3, 0], [2, 1], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]], %2},

    {[[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]], %2},

    {[[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]], %2},

    {[[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]], %2},

    {%1, [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [3, 1], [1, 1]], %1, [[2, 1], [1, 0], [3, 0]]},

    {%1, [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]},

    {[[2, 1], [3, 0], [1, 1]], %1, [[1, 0], [3, 1], [2, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]], %2},

    {[[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]], %2},

    {[[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]], %2},

    {[[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]], %2},

    {%1, [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]},

    {[[2, 1], [3, 0], [1, 1]], %1, [[2, 1], [1, 0], [3, 0]]},

    {%1, [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [3, 1], [1, 1]], %1, [[1, 0], [3, 1], [2, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}, {[[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[3, 0], [2, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 0], [2, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]], %2},

    {[[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 1]], %2},

    {[[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 1], [3, 0]], %2},

    {[[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 1], [3, 0]], %2},

    {[[2, 1], [3, 1], [1, 0]], %1, [[3, 1], [1, 0], [2, 1]]},

    {[[2, 1], [3, 1], [1, 0]], %1, [[3, 1], [1, 1], [2, 0]]},

    {[[2, 1], [3, 0], [1, 1]], %1, [[3, 0], [1, 1], [2, 1]]},

    {[[2, 0], [3, 1], [1, 1]], %1, [[3, 0], [1, 1], [2, 1]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%3, %2, %6}, {%3, %6, %5},

    {%4, %2, %6}, {%4, %6, %5}, {%3, %1, %5}, {%4, %1, %5}, {%4, %2, %1},

    {%3, %2, %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[2, 1], [3, 1], [1, 0]]

%3 := [[2, 1], [1, 1], [3, 0]]

%4 := [[1, 0], [3, 1], [2, 1]]

%5 := [[3, 0], [1, 1], [2, 1]]

%6 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 0], [2, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [2, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 0], [2, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 0], [3, 1]]}, {

    [[3, 0], [2, 1], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[1, 0], [2, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 0], [2, 1], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[3, 0], [2, 1], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 0], [2, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]], %1},

    {[[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]], %1},

    {[[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 0], [1, 1]], %2},

    {[[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]], %2},

    {[[3, 1], [2, 0], [1, 0]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[3, 1], [2, 0], [1, 0]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]], %1},

    {[[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]], %1},

    {[[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]], %1},

    {[[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]], %2},

    {[[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 0], [1, 1]], %2},

    {[[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]], %1},

    {[[1, 0], [2, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}, {[[1, 0], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[2, 1], [1, 1], [3, 0]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[1, 0], [3, 1], [2, 1]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [1, 1], [3, 1]], %1, [[3, 0], [1, 1], [2, 1]]},

    {[[1, 1], [3, 0], [2, 1]], %1, [[3, 0], [1, 1], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]], %1},

    {[[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 0], [2, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 1]]}, {[[3, 1], [2, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 1]], %2, [[3, 0], [1, 1], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]], %2},

    {[[2, 0], [1, 1], [3, 1]], %2, [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]], %2},

    {[[1, 0], [3, 1], [2, 1]], %1, [[3, 1], [1, 0], [2, 1]]},

    {[[2, 1], [1, 1], [3, 0]], %1, [[3, 1], [1, 1], [2, 0]]},

    {[[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]], %1},

    {[[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 1]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]], %2},

    {[[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]], %2},

    {%2, [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]]},

    {%2, [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]},

    {[[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]], %1},

    {[[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 1]], %1},

    {[[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]], %1},

    {[[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]], %1},

    {[[1, 1], [2, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]], %1},

    {[[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]], %2},

    {[[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]], %2},

    {[[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]], %1},

    {[[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]], %1},

    {[[2, 0], [1, 0], [3, 1]], %1, [[3, 0], [1, 1], [2, 1]]},

    {[[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]], %2},

    {[[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]], %2},

    {[[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]], %1},

    {[[1, 1], [3, 0], [2, 0]], %1, [[3, 0], [1, 1], [2, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%6, %5, %4}, {%6, %5, %1},

    {%6, %2, %4}, {%6, %2, %1}, {%3, %5, %4}, {%3, %5, %1}, {%3, %2, %4},

    {%3, %2, %1}}

%1 := [[3, 0], [2, 1], [1, 1]]

%2 := [[1, 1], [2, 1], [3, 0]]

%3 := [[1, 0], [2, 1], [3, 0]]

%4 := [[3, 1], [2, 1], [1, 0]]

%5 := [[1, 0], [2, 1], [3, 1]]

%6 := [[3, 0], [2, 1], [1, 0]]

the member , {[[3, 0], [2, 1], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 1], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, {[[1, 0], [2, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [2, 1], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[3, 0], [2, 1], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]], %2},

    {[[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]], %2},

    {[[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]], %2},

    {[[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 0]], %2},

    {%1, [[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [3, 1], [1, 0]], %1, [[2, 0], [1, 1], [3, 0]]},

    {[[2, 1], [3, 1], [1, 0]], %1, [[1, 0], [3, 0], [2, 1]]},

    {%1, [[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]], %2},

    {%2, [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]], %2},

    {%2, [[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 0]], %1},

    {[[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 0]], %1},

    {[[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 0], [2, 1]], %1},

    {[[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[2, 1], [1, 1], [3, 0]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[1, 0], [3, 1], [2, 1]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[2, 1], [1, 0], [3, 1]], %1, [[3, 0], [1, 1], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], %1, [[3, 0], [1, 1], [2, 1]]},

    {[[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]], %1},

    {[[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 1], [1, 0]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 1]], %2, [[1, 1], [2, 1], [3, 0]]},

    {[[1, 1], [3, 1], [2, 0]], %2, [[1, 1], [2, 1], [3, 0]]},

    {[[2, 0], [1, 1], [3, 1]], %2, [[1, 0], [2, 1], [3, 1]]},

    {[[2, 1], [1, 0], [3, 1]], %2, [[1, 0], [2, 1], [3, 1]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]},

    {[[2, 1], [3, 0], [1, 1]], %1, [[3, 0], [2, 1], [1, 1]]},

    {[[2, 0], [3, 1], [1, 1]], %1, [[3, 0], [2, 1], [1, 1]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}, {[[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]], %4, %3},

    {[[1, 1], [3, 1], [2, 0]], %4, %3}, {[[2, 0], [1, 1], [3, 1]], %4, %3},

    {[[2, 1], [1, 0], [3, 1]], %4, %3}, {%2, [[3, 1], [1, 0], [2, 1]], %1},

    {%2, [[3, 1], [1, 1], [2, 0]], %1}, {[[2, 1], [3, 0], [1, 1]], %2, %1},

    {[[2, 0], [3, 1], [1, 1]], %2, %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 0], [2, 1], [3, 0]]

%3 := [[1, 1], [2, 0], [3, 1]]

%4 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[3, 1], [2, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]], %1},

    {[[1, 1], [2, 0], [3, 0]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[3, 0], [2, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]], %2},

    {[[3, 0], [2, 0], [1, 1]], %2, [[1, 1], [2, 1], [3, 0]]},

    {[[3, 1], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]], %2},

    {[[3, 1], [2, 0], [1, 0]], %2, [[1, 1], [2, 1], [3, 0]]},

    {[[1, 0], [2, 0], [3, 1]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[1, 0], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]], %1},

    {[[2, 0], [1, 0], [3, 1]], %1, [[3, 1], [1, 1], [2, 0]]},

    {[[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]], %2},

    {[[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 1], [2, 0]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 1]], %2},

    {[[1, 1], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]], %1},

    {[[1, 1], [3, 0], [2, 0]], %1, [[3, 1], [1, 0], [2, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [2, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 0], [2, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 1]], %2, [[1, 0], [2, 1], [3, 1]]},

    {[[1, 1], [3, 1], [2, 0]], %2, [[1, 0], [2, 1], [3, 1]]},

    {[[2, 0], [1, 1], [3, 1]], %2, [[1, 1], [2, 1], [3, 0]]},

    {[[2, 1], [1, 0], [3, 1]], %2, [[1, 1], [2, 1], [3, 0]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]},

    {[[2, 1], [3, 0], [1, 1]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[2, 0], [3, 1], [1, 1]], %1, [[3, 1], [2, 1], [1, 0]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 1], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 1]]}, {[[1, 0], [2, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 1], [2, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]], %2},

    {[[1, 1], [3, 1], [2, 0]], %2, [[3, 0], [1, 1], [2, 1]]},

    {[[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 1], [1, 0]], %2},

    {[[2, 1], [1, 0], [3, 1]], %2, [[3, 0], [1, 1], [2, 1]]},

    {[[1, 0], [3, 1], [2, 1]], %1, [[3, 1], [1, 1], [2, 0]]},

    {[[2, 1], [1, 1], [3, 0]], %1, [[3, 1], [1, 0], [2, 1]]},

    {[[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]], %1},

    {[[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[3, 0], [2, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 1], [3, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 1], [3, 0]], %2, [[2, 0], [3, 1], [1, 0]]},

    {[[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]], %2},

    {[[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]], %2},

    {[[1, 0], [3, 1], [2, 1]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]], %1},

    {[[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]], %1},

    {[[2, 1], [3, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]], %1},

    {[[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[1, 1], [3, 1], [2, 0]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[2, 1], [1, 0], [3, 1]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[2, 1], [1, 0], [3, 1]], %1, [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], %1, [[3, 1], [1, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]], %1},

    {[[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 1]], %2, [[3, 1], [2, 1], [1, 0]]},

    {[[1, 1], [3, 1], [2, 0]], %2, [[3, 0], [2, 1], [1, 1]]},

    {[[2, 0], [1, 1], [3, 1]], %2, [[3, 1], [2, 1], [1, 0]]},

    {[[2, 1], [1, 0], [3, 1]], %2, [[3, 0], [2, 1], [1, 1]]},

    {[[2, 1], [3, 0], [1, 1]], %1, [[1, 0], [2, 1], [3, 1]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [3, 1], [1, 1]], %1, [[1, 1], [2, 1], [3, 0]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]], %1},

    {[[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]], %2},

    {[[2, 0], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]], %1},

    {[[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]], %2},

    {[[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]], %1},

    {[[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 1]]}, {[[3, 0], [2, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 0], [2, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[2, 0], [3, 1], [1, 0]]},

    {%4, %3, [[3, 0], [1, 0], [2, 1]]}, {%4, %3, [[3, 0], [1, 1], [2, 0]]},

    {%4, %3, [[2, 1], [3, 0], [1, 0]]}, {%2, [[2, 1], [1, 0], [3, 0]], %1},

    {%2, [[2, 0], [1, 1], [3, 0]], %1}, {%2, [[1, 0], [3, 0], [2, 1]], %1},

    {%2, [[1, 0], [3, 1], [2, 0]], %1}}

%1 := [[3, 0], [1, 1], [2, 1]]

%2 := [[2, 1], [3, 1], [1, 0]]

%3 := [[2, 1], [1, 1], [3, 0]]

%4 := [[1, 0], [3, 1], [2, 1]]

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 0], [1, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 1], [2, 0]], %4, %3},

    {[[3, 0], [1, 0], [2, 1]], %2, %3}, {%2, [[2, 0], [3, 1], [1, 0]], %1},

    {%4, [[2, 1], [3, 0], [1, 0]], %1}, {%2, [[1, 0], [3, 0], [2, 1]], %3},

    {%4, [[2, 1], [1, 0], [3, 0]], %1}, {%4, [[2, 0], [1, 1], [3, 0]], %3},

    {%2, [[1, 0], [3, 1], [2, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 1]]

%2 := [[1, 1], [2, 1], [3, 0]]

%3 := [[3, 1], [2, 1], [1, 0]]

%4 := [[1, 0], [2, 1], [3, 1]]

the member , {[[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[3, 0], [2, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[1, 1], [3, 1], [2, 0]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[2, 1], [1, 0], [3, 1]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [1, 1], [3, 1]], %1, [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 0], [2, 1]], %1, [[3, 1], [1, 1], [2, 0]]},

    {[[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]], %1},

    {[[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]], %1},

    {[[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]], %2},

    {[[2, 0], [1, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]], %1},

    {[[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 1], [2, 0]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 1]], %2},

    {[[1, 1], [3, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]], %1},

    {[[1, 1], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[2, 0], [3, 1], [1, 0]]},

    {%2, [[3, 0], [1, 1], [2, 0]], %1}, {%4, [[3, 0], [1, 0], [2, 1]], %1},

    {%2, %3, [[2, 1], [3, 0], [1, 0]]}, {%4, [[2, 1], [1, 0], [3, 0]], %1},

    {%2, %3, [[1, 0], [3, 0], [2, 1]]}, {%4, %3, [[2, 0], [1, 1], [3, 0]]},

    {%2, [[1, 0], [3, 1], [2, 0]], %1}}

%1 := [[3, 0], [1, 1], [2, 1]]

%2 := [[1, 0], [3, 1], [2, 1]]

%3 := [[2, 1], [3, 1], [1, 0]]

%4 := [[2, 1], [1, 1], [3, 0]]

the member , {[[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [2, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]], %2},

    {%2, [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]], %2},

    {%2, [[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]]},

    {[[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 0]], %1},

    {[[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]], %1},

    {[[2, 0], [1, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]], %1},

    {[[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]], %1},

    {[[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]], %1},

    {[[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[3, 0], [2, 0], [1, 1]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[3, 0], [2, 0], [1, 1]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]], %1},

    {[[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 0], [3, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %3, [[3, 0], [1, 1], [2, 0]]},

    {%2, [[2, 0], [3, 1], [1, 0]], %1}, {%2, %3, [[3, 0], [1, 0], [2, 1]]},

    {%4, [[2, 1], [3, 0], [1, 0]], %1}, {%4, [[2, 1], [1, 0], [3, 0]], %1},

    {%4, %3, [[2, 0], [1, 1], [3, 0]]}, {%2, %3, [[1, 0], [3, 0], [2, 1]]},

    {%2, [[1, 0], [3, 1], [2, 0]], %1}}

%1 := [[3, 0], [1, 1], [2, 1]]

%2 := [[2, 1], [1, 1], [3, 0]]

%3 := [[2, 1], [3, 1], [1, 0]]

%4 := [[1, 0], [3, 1], [2, 1]]

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 0], [3, 1]]}, {

    [[1, 0], [2, 1], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[3, 0], [2, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 1], [1, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 0], [2, 1], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 0], [2, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]], %1},

    {[[3, 0], [1, 1], [2, 0]], %2, [[3, 0], [2, 1], [1, 1]]},

    {%2, [[2, 0], [3, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]},

    {[[3, 0], [1, 0], [2, 1]], %2, [[3, 0], [2, 1], [1, 1]]},

    {%2, [[2, 1], [3, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]]},

    {[[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]], %1},

    {[[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]], %1},

    {[[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]], %2},

    {[[3, 0], [1, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]], %2},

    {[[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]], %2},

    {[[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]], %2},

    {%1, [[1, 0], [3, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]},

    {%1, [[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]},

    {%1, [[2, 0], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]},

    {%1, [[1, 0], [3, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 0], [1, 1], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 1], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[3, 1], [2, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 1], [1, 1]], %2, [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [3, 0], [1, 1]], %2, [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [3, 1], [1, 0]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[2, 1], [3, 1], [1, 0]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]], %1},

    {[[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 1]], %1},

    {[[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 1], [3, 0]], %1},

    {[[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 1], [3, 0]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [2, 1], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 0], [2, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 0], [2, 1], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[3, 0], [2, 1], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]], %1},

    {[[1, 1], [2, 0], [3, 0]], %1, [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]], %2},

    {[[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]], %2},

    {[[2, 1], [3, 0], [1, 1]], %1, [[1, 0], [2, 0], [3, 1]]},

    {%1, [[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]], %1},

    {[[2, 0], [1, 0], [3, 1]], %1, [[3, 1], [1, 0], [2, 1]]},

    {[[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]], %2},

    {[[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 0], [2, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]], %2},

    {[[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]], %1},

    {[[1, 1], [3, 0], [2, 0]], %1, [[3, 1], [1, 1], [2, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [3, 1], [1, 0]], %2, [[1, 0], [2, 1], [3, 1]]},

    {[[2, 1], [3, 1], [1, 0]], %2, [[1, 1], [2, 1], [3, 0]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]},

    {[[1, 0], [3, 1], [2, 1]], %1, [[3, 0], [2, 1], [1, 1]]},

    {[[2, 1], [1, 1], [3, 0]], %1, [[3, 0], [2, 1], [1, 1]]},

    {[[2, 1], [1, 1], [3, 0]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[1, 0], [3, 1], [2, 1]], %1, [[3, 1], [2, 1], [1, 0]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 0], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%3, [[2, 0], [1, 1], [3, 0]], %4},

    {[[3, 0], [1, 1], [2, 0]], %3, %4}, {%2, [[2, 0], [3, 1], [1, 0]], %1},

    {[[3, 0], [1, 0], [2, 1]], %2, %4}, {%2, [[1, 0], [3, 0], [2, 1]], %4},

    {%3, [[2, 1], [3, 0], [1, 0]], %1}, {%3, [[2, 1], [1, 0], [3, 0]], %1},

    {%2, [[1, 0], [3, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 1]]

%3 := [[1, 1], [2, 1], [3, 0]]

%4 := [[3, 0], [2, 1], [1, 1]]

the member , {[[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 1]], %2},

    {[[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]], %2},

    {[[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]], %2},

    {[[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]], %2},

    {%1, [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]},

    {%1, [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]], %1},

    {[[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 1]], %2, %1},

    {[[3, 0], [1, 1], [2, 0]], %2, %1}, {%2, [[2, 0], [3, 1], [1, 0]], %1},

    {%2, [[2, 1], [3, 0], [1, 0]], %1}, {%2, [[1, 0], [3, 0], [2, 1]], %1},

    {%2, [[2, 1], [1, 0], [3, 0]], %1}, {%2, [[2, 0], [1, 1], [3, 0]], %1},

    {%2, [[1, 0], [3, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[3, 0], [1, 0], [2, 1]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]], %4, %3},

    {[[1, 1], [3, 1], [2, 0]], %4, %3}, {[[2, 0], [1, 1], [3, 1]], %4, %3},

    {[[2, 1], [1, 0], [3, 1]], %4, %3}, {[[2, 1], [3, 0], [1, 1]], %2, %1},

    {[[2, 0], [3, 1], [1, 1]], %2, %1}, {%2, %1, [[3, 1], [1, 1], [2, 0]]},

    {%2, %1, [[3, 1], [1, 0], [2, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[1, 0], [2, 1], [3, 0]]

%3 := [[3, 1], [2, 0], [1, 1]]

%4 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, [[2, 0], [3, 1], [1, 0]], %3},

    {%4, %1, [[3, 0], [1, 0], [2, 1]]}, {%2, %1, [[3, 0], [1, 1], [2, 0]]},

    {%2, [[2, 1], [3, 0], [1, 0]], %3}, {%4, %1, [[2, 1], [1, 0], [3, 0]]},

    {%4, [[2, 0], [1, 1], [3, 0]], %3}, {%2, [[1, 0], [3, 0], [2, 1]], %3},

    {%2, %1, [[1, 0], [3, 1], [2, 0]]}}

%1 := [[2, 1], [3, 1], [1, 0]]

%2 := [[2, 1], [1, 1], [3, 0]]

%3 := [[3, 0], [1, 1], [2, 1]]

%4 := [[1, 0], [3, 1], [2, 1]]

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [2, 1], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 1]], %4, %3},

    {[[2, 0], [3, 1], [1, 0]], %4, %3}, {[[3, 0], [1, 1], [2, 0]], %4, %3},

    {%2, %1, [[1, 0], [3, 0], [2, 1]]}, {%2, %1, [[2, 1], [1, 0], [3, 0]]},

    {%2, %1, [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [3, 0], [1, 0]], %4, %3},

    {%2, %1, [[1, 0], [3, 1], [2, 0]]}}

%1 := [[1, 1], [2, 1], [3, 0]]

%2 := [[1, 0], [2, 1], [3, 1]]

%3 := [[3, 1], [2, 1], [1, 0]]

%4 := [[3, 0], [2, 1], [1, 1]]

the member , {[[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 1]]}, {[[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 0], [3, 1]]}, {

    [[1, 1], [2, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[3, 0], [2, 0], [1, 1]], [[3, 1], [2, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 1]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]], %2},

    {[[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]], %2},

    {[[3, 0], [1, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]], %2},

    {%1, [[1, 0], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]},

    {%1, [[2, 1], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]]},

    {[[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]], %2},

    {%1, [[2, 0], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]},

    {%1, [[1, 0], [3, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 0], [2, 1], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[3, 0], [2, 1], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]], %1},

    {[[2, 0], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]], %1},

    {[[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]], %2},

    {[[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[1, 1], [3, 0], [2, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]], %2},

    {[[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]], %1},

    {[[1, 1], [3, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]], %2},

    {[[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]], %2},

    {[[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]], %2},

    {[[1, 1], [3, 1], [2, 0]], %1, [[2, 1], [1, 0], [3, 0]]},

    {[[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]], %2},

    {[[1, 1], [3, 0], [2, 1]], %1, [[2, 0], [1, 1], [3, 0]]},

    {[[2, 0], [1, 1], [3, 1]], %1, [[1, 0], [3, 0], [2, 1]]},

    {[[2, 1], [1, 0], [3, 1]], %1, [[1, 0], [3, 1], [2, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 1], [3, 0]], %2, [[3, 1], [2, 1], [1, 0]]},

    {[[2, 1], [1, 1], [3, 0]], %2, [[3, 0], [2, 1], [1, 1]]},

    {[[1, 0], [3, 1], [2, 1]], %2, [[3, 1], [2, 1], [1, 0]]},

    {[[1, 0], [3, 1], [2, 1]], %2, [[3, 0], [2, 1], [1, 1]]},

    {[[2, 1], [3, 1], [1, 0]], %1, [[1, 0], [2, 1], [3, 1]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [3, 1], [1, 0]], %1, [[1, 1], [2, 1], [3, 0]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]], %2},

    {[[2, 0], [1, 1], [3, 1]], %2, [[2, 0], [3, 1], [1, 0]]},

    {[[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]], %2},

    {[[1, 1], [3, 0], [2, 1]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]], %1},

    {[[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]], %1},

    {[[2, 0], [3, 1], [1, 1]], [[2, 0], [1, 1], [3, 0]], %1},

    {[[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 1], [1, 1]], %2, [[1, 1], [2, 1], [3, 0]]},

    {[[2, 1], [3, 0], [1, 1]], %2, [[1, 0], [2, 1], [3, 1]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]},

    {[[2, 1], [1, 0], [3, 1]], %1, [[3, 0], [2, 1], [1, 1]]},

    {[[1, 1], [3, 1], [2, 0]], %1, [[3, 0], [2, 1], [1, 1]]},

    {[[2, 0], [1, 1], [3, 1]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[1, 1], [3, 0], [2, 1]], %1, [[3, 1], [2, 1], [1, 0]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 1], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]], %4, %1},

    {[[1, 1], [2, 0], [3, 0]], %4, %3}, {[[3, 0], [2, 0], [1, 1]], %4, %3},

    {[[3, 1], [2, 0], [1, 0]], %4, %1}, {[[3, 0], [2, 0], [1, 1]], %2, %3},

    {[[3, 1], [2, 0], [1, 0]], %2, %1}, {%2, [[1, 0], [2, 0], [3, 1]], %3},

    {%2, [[1, 0], [2, 0], [3, 1]], %1}}

%1 := [[3, 0], [2, 1], [1, 1]]

%2 := [[1, 1], [2, 1], [3, 0]]

%3 := [[3, 1], [2, 1], [1, 0]]

%4 := [[1, 0], [2, 1], [3, 1]]

the member , {[[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [2, 1], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 1], [2, 1]], %2, [[2, 0], [3, 1], [1, 0]]},

    {[[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]], %1},

    {[[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 0], [2, 1]], %2},

    {[[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]], %2},

    {[[2, 1], [1, 1], [3, 0]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[2, 1], [3, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]], %1},

    {[[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]], %1},

    {[[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 1], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[3, 1], [2, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 0], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [1, 1], [2, 0]], %2, [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [3, 1], [1, 0]], %2, [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 0], [2, 1]], %2, [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [3, 1], [1, 0]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[2, 1], [1, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]], %1},

    {[[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 0], [2, 1]], %1},

    {[[2, 1], [1, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]], %1},

    {[[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[3, 0], [1, 1], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [2, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 0], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, {[[1, 0], [2, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[3, 1], [2, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]], %4, %3},

    {[[2, 0], [1, 0], [3, 1]], %4, %1}, {[[2, 0], [3, 0], [1, 1]], %4, %3},

    {[[2, 0], [3, 0], [1, 1]], %2, %3}, {[[3, 1], [1, 0], [2, 0]], %2, %1},

    {[[3, 1], [1, 0], [2, 0]], %4, %1}, {[[1, 1], [3, 0], [2, 0]], %2, %3},

    {[[1, 1], [3, 0], [2, 0]], %2, %1}}

%1 := [[3, 0], [2, 1], [1, 1]]

%2 := [[1, 0], [2, 1], [3, 1]]

%3 := [[3, 1], [2, 1], [1, 0]]

%4 := [[1, 1], [2, 1], [3, 0]]

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]], %2},

    {[[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]], %1},

    {[[1, 1], [2, 0], [3, 0]], %1, [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[3, 0], [2, 0], [1, 1]], %2},

    {[[2, 0], [3, 1], [1, 1]], %1, [[1, 0], [2, 0], [3, 1]]},

    {%1, [[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]], %2},

    {[[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 0]], %2},

    {[[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 0], [2, 1]], %2},

    {[[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]], %2},

    {[[2, 1], [3, 1], [1, 0]], %1, [[2, 1], [1, 0], [3, 0]]},

    {%1, [[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [3, 1], [1, 0]], %1, [[1, 0], [3, 1], [2, 0]]},

    {%1, [[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [1, 0], [2, 1]], %2, [[3, 1], [2, 1], [1, 0]]},

    {[[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]], %2},

    {[[3, 0], [1, 1], [2, 0]], %2, [[3, 1], [2, 1], [1, 0]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]},

    {[[1, 0], [2, 1], [3, 1]], %1, [[2, 1], [1, 0], [3, 0]]},

    {[[2, 1], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]], %2},

    {[[1, 0], [2, 1], [3, 1]], %1, [[2, 0], [1, 1], [3, 0]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]], %2, %1},

    {[[3, 1], [1, 0], [2, 0]], %2, %1}, {[[2, 0], [3, 0], [1, 1]], %2, %1},

    {[[1, 1], [3, 0], [2, 0]], %2, %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [1, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]], %2},

    {[[2, 0], [3, 1], [1, 0]], %2, [[3, 1], [2, 1], [1, 0]]},

    {[[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]], %2},

    {[[1, 0], [2, 1], [3, 1]], %1, [[1, 0], [3, 0], [2, 1]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]},

    {[[2, 1], [3, 0], [1, 0]], %2, [[3, 1], [2, 1], [1, 0]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]},

    {[[1, 0], [2, 1], [3, 1]], %1, [[1, 0], [3, 1], [2, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]], %4, %3},

    {[[2, 1], [3, 0], [1, 1]], %4, %3}, {%4, %3, [[3, 1], [1, 1], [2, 0]]},

    {%4, %3, [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]], %2, %1},

    {[[2, 1], [1, 0], [3, 1]], %2, %1}, {[[2, 0], [1, 1], [3, 1]], %2, %1},

    {[[1, 1], [3, 1], [2, 0]], %2, %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 0], [2, 1], [3, 0]]

%3 := [[1, 1], [2, 0], [3, 1]]

%4 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]], %2},

    {[[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 0], [2, 1]], %2},

    {[[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]], %2},

    {[[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]], %2},

    {[[1, 1], [3, 0], [2, 1]], %1, [[2, 1], [1, 0], [3, 0]]},

    {[[1, 1], [3, 1], [2, 0]], %1, [[2, 0], [1, 1], [3, 0]]},

    {[[2, 1], [1, 0], [3, 1]], %1, [[1, 0], [3, 0], [2, 1]]},

    {[[2, 0], [1, 1], [3, 1]], %1, [[1, 0], [3, 1], [2, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, {[[3, 0], [2, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [1, 1], [2, 0]], %2, [[1, 1], [2, 1], [3, 0]]},

    {[[2, 0], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]], %1},

    {[[1, 0], [2, 1], [3, 1]], %2, [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]], %2},

    {%2, [[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]},

    {[[1, 0], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]], %1},

    {[[2, 1], [1, 0], [3, 0]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[1, 0], [3, 1], [2, 0]], %1, [[3, 1], [2, 1], [1, 0]]}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[3, 0], [1, 1], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], %1, [[3, 0], [2, 1], [1, 1]]},

    {[[2, 0], [1, 0], [3, 1]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[3, 1], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]], %2},

    {[[3, 1], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]], %2},

    {[[1, 1], [3, 0], [2, 0]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[1, 1], [3, 0], [2, 0]], %1, [[3, 0], [2, 1], [1, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 0], [1, 1]], %2},

    {[[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]], %1},

    {[[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[1, 1], [2, 0], [3, 0]], %1, [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]], %2},

    {[[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[2, 1], [3, 1], [1, 0]], %1, [[1, 0], [2, 0], [3, 1]]},

    {%1, [[1, 0], [2, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[3, 0], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]], %2},

    {[[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]], %2},

    {[[3, 0], [1, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]], %2},

    {[[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 0]], %2},

    {[[2, 0], [1, 1], [3, 1]], %1, [[2, 1], [1, 0], [3, 0]]},

    {[[1, 1], [3, 1], [2, 0]], %1, [[1, 0], [3, 0], [2, 1]]},

    {[[2, 1], [1, 0], [3, 1]], %1, [[2, 0], [1, 1], [3, 0]]},

    {[[1, 1], [3, 0], [2, 1]], %1, [[1, 0], [3, 1], [2, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}, {[[3, 1], [2, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [3, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%2, %1, [[2, 0], [3, 1], [1, 0]]},

    {%2, [[3, 0], [1, 0], [2, 1]], %3}, {%4, [[3, 0], [1, 1], [2, 0]], %3},

    {%4, %1, [[2, 1], [3, 0], [1, 0]]}, {%4, %1, [[2, 1], [1, 0], [3, 0]]},

    {%2, [[1, 0], [3, 0], [2, 1]], %3}, {%4, [[2, 0], [1, 1], [3, 0]], %3},

    {%2, %1, [[1, 0], [3, 1], [2, 0]]}}

%1 := [[2, 1], [3, 1], [1, 0]]

%2 := [[1, 0], [3, 1], [2, 1]]

%3 := [[3, 0], [1, 1], [2, 1]]

%4 := [[2, 1], [1, 1], [3, 0]]

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 1]], %2, [[3, 0], [2, 1], [1, 1]]},

    {[[1, 1], [3, 1], [2, 0]], %2, [[3, 1], [2, 1], [1, 0]]},

    {[[2, 0], [1, 1], [3, 1]], %2, [[3, 0], [2, 1], [1, 1]]},

    {[[2, 1], [1, 0], [3, 1]], %2, [[3, 1], [2, 1], [1, 0]]},

    {[[2, 0], [3, 1], [1, 1]], %1, [[1, 0], [2, 1], [3, 1]]},

    {%1, [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 1], [3, 0], [1, 1]], %1, [[1, 1], [2, 1], [3, 0]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]], %2},

    {[[2, 0], [3, 1], [1, 1]], [[2, 0], [3, 1], [1, 0]], %2},

    {[[3, 0], [1, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]], %2},

    {[[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]], %2},

    {[[2, 1], [1, 0], [3, 1]], %1, [[2, 1], [1, 0], [3, 0]]},

    {[[1, 1], [3, 0], [2, 1]], %1, [[1, 0], [3, 0], [2, 1]]},

    {[[2, 0], [1, 1], [3, 1]], %1, [[2, 0], [1, 1], [3, 0]]},

    {[[1, 1], [3, 1], [2, 0]], %1, [[1, 0], [3, 1], [2, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[3, 0], [2, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]], %2},

    {[[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]], %2},

    {[[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]], %1},

    {[[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]], %1},

    {[[1, 1], [3, 1], [2, 0]], %2, [[1, 0], [2, 0], [3, 1]]},

    {[[1, 1], [3, 0], [2, 1]], %2, [[1, 0], [2, 0], [3, 1]]},

    {[[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]], %1},

    {[[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]], %1},

    {[[1, 1], [3, 1], [2, 0]], %2, [[2, 0], [3, 1], [1, 0]]},

    {[[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]], %2},

    {[[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 0]], %2},

    {[[2, 1], [1, 0], [3, 1]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]], %1},

    {[[2, 1], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]], %1},

    {[[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]], %1},

    {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]], %1},

    {[[3, 1], [1, 0], [2, 0]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [3, 0], [1, 1]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]], %1},

    {[[1, 1], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]], %4, %3},

    {[[2, 0], [1, 0], [3, 1]], %4, %1}, {[[3, 1], [1, 0], [2, 0]], %4, %3},

    {[[3, 1], [1, 0], [2, 0]], %2, %3}, {[[2, 0], [3, 0], [1, 1]], %4, %1},

    {[[2, 0], [3, 0], [1, 1]], %2, %1}, {[[1, 1], [3, 0], [2, 0]], %2, %3},

    {[[1, 1], [3, 0], [2, 0]], %2, %1}}

%1 := [[3, 0], [2, 1], [1, 1]]

%2 := [[1, 1], [2, 1], [3, 0]]

%3 := [[3, 1], [2, 1], [1, 0]]

%4 := [[1, 0], [2, 1], [3, 1]]

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 1], [2, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]], %2},

    {[[3, 1], [2, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]], %2},

    {[[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]], %1},

    {[[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]], %1},

    {[[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 0], [1, 1]], %2},

    {[[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]], %2},

    {[[2, 1], [1, 0], [3, 1]], %1, [[1, 0], [2, 0], [3, 1]]},

    {[[2, 0], [1, 1], [3, 1]], %1, [[1, 0], [2, 0], [3, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[3, 1], [2, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [2, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [2, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 1], [2, 0]], %4, %3},

    {[[2, 0], [1, 1], [3, 0]], %2, %1}, {%4, %3, [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 0], [2, 1]], %4, %3}, {%4, %3, [[2, 1], [3, 0], [1, 0]]},

    {[[1, 0], [3, 0], [2, 1]], %2, %1}, {[[2, 1], [1, 0], [3, 0]], %2, %1},

    {[[1, 0], [3, 1], [2, 0]], %2, %1}}

%1 := [[3, 1], [2, 1], [1, 0]]

%2 := [[3, 0], [2, 1], [1, 1]]

%3 := [[1, 1], [2, 1], [3, 0]]

%4 := [[1, 0], [2, 1], [3, 1]]

the member , {[[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 1], [1, 1]], %2, [[1, 0], [2, 1], [3, 1]]},

    {[[2, 1], [3, 0], [1, 1]], %2, [[1, 1], [2, 1], [3, 0]]},

    {%2, [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [1, 1], [3, 1]], %1, [[3, 0], [2, 1], [1, 1]]},

    {[[1, 1], [3, 0], [2, 1]], %1, [[3, 0], [2, 1], [1, 1]]},

    {[[2, 1], [1, 0], [3, 1]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[1, 1], [3, 1], [2, 0]], %1, [[3, 1], [2, 1], [1, 0]]}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]], %2},

    {[[2, 1], [3, 1], [1, 0]], [[2, 0], [3, 1], [1, 0]], %2},

    {[[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]], %2},

    {[[2, 1], [3, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]], %2},

    {[[2, 1], [1, 1], [3, 0]], %1, [[2, 1], [1, 0], [3, 0]]},

    {[[1, 0], [3, 1], [2, 1]], %1, [[1, 0], [3, 0], [2, 1]]},

    {[[2, 1], [1, 1], [3, 0]], %1, [[2, 0], [1, 1], [3, 0]]},

    {[[1, 0], [3, 1], [2, 1]], %1, [[1, 0], [3, 1], [2, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[3, 0], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [2, 0], [3, 0]], %2, [[3, 1], [2, 1], [1, 0]]},

    {[[1, 1], [2, 0], [3, 0]], %2, [[3, 0], [2, 1], [1, 1]]},

    {[[3, 0], [2, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]], %1},

    {[[3, 1], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]], %1},

    {[[3, 0], [2, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]], %1},

    {%2, [[1, 0], [2, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]},

    {%2, [[1, 0], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]},

    {[[3, 1], [2, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[1, 1], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]], %2, %1},

    {[[3, 0], [2, 0], [1, 1]], %2, %1}, {[[3, 1], [2, 0], [1, 0]], %2, %1},

    {%2, [[1, 0], [2, 0], [3, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[1, 1], [2, 0], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]], %2},

    {[[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]], %2},

    {[[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 0], [2, 1]], %2},

    {[[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]], %2},

    {%1, [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]]},

    {[[2, 1], [3, 0], [1, 1]], %1, [[2, 0], [1, 1], [3, 0]]},

    {%1, [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [3, 1], [1, 1]], %1, [[1, 0], [3, 0], [2, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[3, 0], [2, 1], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 1], [3, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 1], [1, 1]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[2, 1], [3, 0], [1, 1]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[1, 1], [3, 1], [2, 0]], %2, [[1, 0], [2, 1], [3, 1]]},

    {[[1, 1], [3, 0], [2, 1]], %2, [[1, 0], [2, 1], [3, 1]]},

    {[[2, 1], [1, 0], [3, 1]], %2, [[1, 1], [2, 1], [3, 0]]},

    {[[2, 0], [1, 1], [3, 1]], %2, [[1, 1], [2, 1], [3, 0]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [2, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 1], [2, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 0], [1, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[3, 1], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 0], [1, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 0], [1, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 0], [2, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]], %2, %1},

    {[[2, 1], [3, 0], [1, 1]], %2, %1}, {[[1, 1], [3, 0], [2, 1]], %4, %3},

    {[[2, 1], [1, 0], [3, 1]], %4, %3}, {[[2, 0], [1, 1], [3, 1]], %4, %3},

    {[[1, 1], [3, 1], [2, 0]], %4, %3}, {%2, [[3, 1], [1, 0], [2, 1]], %1},

    {%2, [[3, 1], [1, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[3, 0], [2, 1], [1, 0]]

%3 := [[1, 1], [2, 0], [3, 1]]

%4 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 1]], %4, %1},

    {%4, [[2, 0], [3, 1], [1, 0]], %3}, {[[3, 0], [1, 1], [2, 0]], %2, %1},

    {%2, [[1, 0], [3, 0], [2, 1]], %3}, {%4, [[2, 1], [1, 0], [3, 0]], %1},

    {%2, [[2, 1], [3, 0], [1, 0]], %3}, {%4, [[2, 0], [1, 1], [3, 0]], %3},

    {%2, [[1, 0], [3, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 1], [1, 0]]

%2 := [[1, 1], [2, 1], [3, 0]]

%3 := [[3, 0], [2, 1], [1, 1]]

%4 := [[1, 0], [2, 1], [3, 1]]

the member , {[[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]]}, {[[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%2, %1, [[3, 1], [2, 0], [1, 0]]},

    {%4, %1, [[1, 1], [2, 0], [3, 0]]}, {%4, [[1, 1], [2, 0], [3, 0]], %3},

    {%4, [[3, 0], [2, 0], [1, 1]], %3}, {%4, %1, [[3, 1], [2, 0], [1, 0]]},

    {%2, [[3, 0], [2, 0], [1, 1]], %3}, {%2, [[1, 0], [2, 0], [3, 1]], %3},

    {%2, %1, [[1, 0], [2, 0], [3, 1]]}}

%1 := [[2, 1], [3, 1], [1, 0]]

%2 := [[1, 0], [3, 1], [2, 1]]

%3 := [[3, 0], [1, 1], [2, 1]]

%4 := [[2, 1], [1, 1], [3, 0]]

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [2, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 1], [3, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 1], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]], %2},

    {[[3, 1], [1, 0], [2, 0]], %2, [[1, 1], [2, 1], [3, 0]]},

    {[[2, 0], [1, 0], [3, 1]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[2, 0], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]], %1},

    {[[2, 0], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], %2, [[1, 1], [2, 1], [3, 0]]},

    {[[1, 1], [3, 0], [2, 0]], [[3, 0], [2, 1], [1, 1]], %1},

    {[[1, 1], [3, 0], [2, 0]], %1, [[3, 1], [2, 1], [1, 0]]}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[3, 1], [1, 0], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [3, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 1], [1, 1]], %1, [[3, 0], [2, 1], [1, 1]]},

    {[[2, 1], [3, 0], [1, 1]], %1, [[3, 0], [2, 1], [1, 1]]},

    {[[2, 1], [1, 0], [3, 1]], %2, [[1, 0], [2, 1], [3, 1]]},

    {[[2, 0], [1, 1], [3, 1]], %2, [[1, 0], [2, 1], [3, 1]]},

    {[[1, 1], [3, 1], [2, 0]], %2, [[1, 1], [2, 1], [3, 0]]},

    {[[1, 1], [3, 0], [2, 1]], %2, [[1, 1], [2, 1], [3, 0]]},

    {%1, [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}}

%1 := [[3, 0], [2, 1], [1, 0]]

%2 := [[1, 0], [2, 1], [3, 0]]

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[3, 0], [2, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[1, 1], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 1], [3, 0], [2, 1]],

    [[1, 1], [3, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]]}}

the member , {[[2, 0], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 0]]}, {[[3, 0], [2, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 0], [2, 0], [1, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [2, 0], [3, 1]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [1, 1], [2, 0]], %2, [[3, 1], [2, 1], [1, 0]]},

    {[[3, 0], [1, 0], [2, 1]], %2, [[3, 1], [2, 1], [1, 0]]},

    {%2, [[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]},

    {%2, [[2, 1], [3, 0], [1, 0]], [[3, 0], [2, 1], [1, 1]]},

    {[[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]], %1},

    {[[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]], %1},

    {[[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]], %1},

    {[[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[3, 0], [1, 1], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[3, 0], [2, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 0], [2, 1], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[3, 0], [2, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [2, 1], [3, 0]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 0], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 0], [3, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 0], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]], %2},

    {[[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]], %2},

    {[[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]], %2},

    {[[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]], %2},

    {%1, [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [3, 1], [1, 1]], %1, [[2, 0], [1, 1], [3, 0]]},

    {[[2, 1], [3, 0], [1, 1]], %1, [[1, 0], [3, 0], [2, 1]]},

    {%1, [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 1], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 1], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]], %4, %1},

    {[[2, 0], [1, 0], [3, 1]], %4, %3}, {[[3, 1], [1, 0], [2, 0]], %2, %3},

    {[[3, 1], [1, 0], [2, 0]], %4, %3}, {[[2, 0], [3, 0], [1, 1]], %2, %1},

    {[[2, 0], [3, 0], [1, 1]], %4, %1}, {[[1, 1], [3, 0], [2, 0]], %2, %3},

    {[[1, 1], [3, 0], [2, 0]], %2, %1}}

%1 := [[2, 1], [3, 1], [1, 0]]

%2 := [[1, 0], [3, 1], [2, 1]]

%3 := [[3, 0], [1, 1], [2, 1]]

%4 := [[2, 1], [1, 1], [3, 0]]

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [2, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[2, 0], [3, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 0]], %2},

    {[[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 0], [3, 0]], %1},

    {[[1, 1], [2, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]], %1},

    {[[2, 0], [1, 1], [3, 1]], [[3, 0], [2, 0], [1, 1]], %2},

    {[[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 0], [1, 1]], %2},

    {[[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 0], [3, 1]], %1},

    {[[1, 0], [2, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [2, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 1], [3, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 1], [3, 0]],

    [[1, 1], [2, 1], [3, 0]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[2, 0], [1, 1], [3, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 1], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]], %2},

    {%2, [[2, 0], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]], %2},

    {%2, [[2, 1], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]]},

    {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 0]], %1},

    {[[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 0]], %1},

    {[[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]], %1},

    {[[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 1], [3, 1], [2, 0]]}, {[[2, 0], [1, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [3, 1], [2, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 1], [3, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 1]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, %1, [[1, 1], [2, 0], [3, 0]]},

    {%4, [[3, 1], [2, 0], [1, 0]], %3}, {%4, [[1, 1], [2, 0], [3, 0]], %3},

    {%2, %1, [[3, 0], [2, 0], [1, 1]]}, {%2, [[3, 1], [2, 0], [1, 0]], %3},

    {%4, %1, [[3, 0], [2, 0], [1, 1]]}, {%2, [[1, 0], [2, 0], [3, 1]], %3},

    {%2, %1, [[1, 0], [2, 0], [3, 1]]}}

%1 := [[2, 1], [3, 1], [1, 0]]

%2 := [[2, 1], [1, 1], [3, 0]]

%3 := [[3, 0], [1, 1], [2, 1]]

%4 := [[1, 0], [3, 1], [2, 1]]

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [2, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 1], [2, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [1, 1], [2, 0]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [3, 1], [1, 1]], %2, [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 0], [2, 1]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[2, 1], [3, 0], [1, 1]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]], %1},

    {[[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]], %1},

    {[[2, 0], [1, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]], %1},

    {[[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[3, 0], [1, 1], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]], %1},

    {[[1, 1], [3, 0], [2, 1]], %2, [[2, 0], [3, 1], [1, 0]]},

    {[[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 0]], %2},

    {[[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]], %2},

    {[[2, 0], [1, 1], [3, 1]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]], %1},

    {[[2, 0], [3, 1], [1, 1]], [[2, 1], [1, 0], [3, 0]], %1},

    {[[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]], %2},

    {[[2, 0], [1, 1], [3, 0]], %1, [[3, 1], [2, 1], [1, 0]]},

    {%2, [[1, 1], [2, 1], [3, 0]], [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 0], [2, 1]], %2, [[1, 1], [2, 1], [3, 0]]},

    {[[1, 0], [2, 1], [3, 1]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[1, 0], [3, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]], %1},

    {[[1, 0], [3, 0], [2, 1]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]], %2},

    {[[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]], %2},

    {[[2, 0], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]], %2},

    {[[1, 0], [3, 1], [2, 1]], %1, [[2, 1], [1, 0], [3, 0]]},

    {[[2, 1], [3, 0], [1, 0]], [[3, 0], [1, 1], [2, 1]], %2},

    {[[1, 0], [3, 1], [2, 1]], %1, [[2, 0], [1, 1], [3, 0]]},

    {[[2, 1], [1, 1], [3, 0]], %1, [[1, 0], [3, 0], [2, 1]]},

    {[[2, 1], [1, 1], [3, 0]], %1, [[1, 0], [3, 1], [2, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 1], [3, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]], %4, %1},

    {[[2, 0], [1, 0], [3, 1]], %4, %3}, {[[3, 1], [1, 0], [2, 0]], %4, %1},

    {[[3, 1], [1, 0], [2, 0]], %2, %1}, {[[2, 0], [3, 0], [1, 1]], %4, %3},

    {[[2, 0], [3, 0], [1, 1]], %2, %3}, {[[1, 1], [3, 0], [2, 0]], %2, %3},

    {[[1, 1], [3, 0], [2, 0]], %2, %1}}

%1 := [[2, 1], [3, 1], [1, 0]]

%2 := [[2, 1], [1, 1], [3, 0]]

%3 := [[3, 0], [1, 1], [2, 1]]

%4 := [[1, 0], [3, 1], [2, 1]]

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[3, 0], [1, 1], [2, 0]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[2, 1], [3, 0], [1, 1]], %2, [[2, 0], [3, 1], [1, 0]]},

    {[[3, 0], [1, 0], [2, 1]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [3, 1], [1, 1]], %2, [[2, 1], [3, 0], [1, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]], %1},

    {[[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 0], [2, 1]], %1},

    {[[2, 1], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 0]], %1},

    {[[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[3, 0], [1, 1], [2, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [2, 1], [3, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [2, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 1], [3, 0]],

    [[1, 1], [2, 1], [3, 0]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 0], [2, 0], [1, 1]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 1], [2, 0], [1, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[1, 1], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 1], [3, 0], [2, 1]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[2, 0], [1, 1], [3, 1]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[1, 1], [3, 1], [2, 0]], %1, [[3, 1], [1, 0], [2, 1]]},

    {[[2, 1], [1, 0], [3, 1]], %1, [[3, 1], [1, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]], %1},

    {[[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]], %1}}

%1 := [[1, 0], [2, 1], [3, 0]]

%2 := [[3, 0], [2, 1], [1, 0]]

the member , {[[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 0]]}, {[[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [3, 0], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 1], [3, 0]], [[2, 1], [3, 0], [1, 0]]}, {

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 1]], %1},

    {[[2, 0], [1, 0], [3, 1]], [[2, 0], [1, 1], [3, 1]], %1},

    {[[3, 1], [1, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]], %2},

    {[[3, 1], [1, 0], [2, 0]], [[3, 1], [1, 1], [2, 0]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[2, 0], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 1], [2, 0]], %1},

    {[[1, 1], [3, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]], %1}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [2, 0], [3, 0]], %2, %3},

    {[[1, 1], [2, 0], [3, 0]], %2, %1}, {[[3, 0], [2, 0], [1, 1]], %4, %3},

    {[[3, 1], [2, 0], [1, 0]], %4, %1}, {[[3, 0], [2, 0], [1, 1]], %2, %3},

    {%4, [[1, 0], [2, 0], [3, 1]], %1}, {%4, [[1, 0], [2, 0], [3, 1]], %3},

    {[[3, 1], [2, 0], [1, 0]], %2, %1}}

%1 := [[3, 1], [2, 1], [1, 0]]

%2 := [[1, 1], [2, 1], [3, 0]]

%3 := [[3, 0], [2, 1], [1, 1]]

%4 := [[1, 0], [2, 1], [3, 1]]

the member , {[[1, 1], [2, 0], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[1, 1], [3, 0], [2, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 1], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, {[[3, 0], [1, 0], [2, 1]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 0], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[3, 0], [1, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [2, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[3, 1], [2, 0], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 0], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 1], [2, 0], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 0], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 1], [1, 0], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [3, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 1], [3, 0], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [3, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 0], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[1, 0], [3, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 0]]}, {[[1, 0], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 0], [1, 0], [2, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[2, 1], [1, 0], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [3, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, [[3, 0], [1, 1], [2, 0]], %3},

    {%4, [[2, 0], [3, 1], [1, 0]], %3}, {%4, [[3, 0], [1, 0], [2, 1]], %3},

    {%4, [[2, 1], [3, 0], [1, 0]], %3}, {%2, %1, [[2, 1], [1, 0], [3, 0]]},

    {%2, %1, [[1, 0], [3, 0], [2, 1]]}, {%2, %1, [[2, 0], [1, 1], [3, 0]]},

    {%2, %1, [[1, 0], [3, 1], [2, 0]]}}

%1 := [[2, 1], [1, 1], [3, 0]]

%2 := [[1, 0], [3, 1], [2, 1]]

%3 := [[3, 0], [1, 1], [2, 1]]

%4 := [[2, 1], [3, 1], [1, 0]]

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 1]]}, {

    [[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[3, 1], [1, 0], [2, 0]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[3, 1], [1, 0], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 0], [3, 0], [1, 1]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]]}, {

    [[2, 0], [3, 0], [1, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 0]],

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 0]], [[1, 0], [3, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 1]]}}

the member , {[[2, 0], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[3, 0], [1, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 0], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[3, 0], [1, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 0], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 0], [2, 1], [3, 1]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[3, 0], [1, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[2, 0], [3, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[3, 0], [1, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [1, 0], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [3, 0], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [1, 1], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 1]],

    [[1, 0], [3, 1], [2, 0]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[2, 1], [1, 0], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[2, 0], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 0], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

                        Out of a total of , 378, cases

                     378, were successful and , 0, failed

                               Success Rate: , 1.

                             Here are the failures

                                       {}

                                       {}

             "for patterns of lengths: ", [[3, 2], [3, 2], [3, 2]]

            There all together, 118, different equivalence classes

For the equivalence class of patterns, {{[[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [2, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [2, 1], [3, 1]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 1], [3, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%3, %4, %5}, {%3, %5, %1},

    {%6, %4, %5}, {%6, %2, %4}, {%6, %2, %1}, {%6, %5, %1}, {%3, %2, %4},

    {%3, %2, %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[2, 1], [3, 1], [1, 0]]

%3 := [[2, 1], [1, 1], [3, 0]]

%4 := [[1, 1], [2, 0], [3, 1]]

%5 := [[3, 0], [1, 1], [2, 1]]

%6 := [[1, 0], [3, 1], [2, 1]]

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 1], [2, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]], %2, %3},

    {[[1, 0], [3, 1], [2, 1]], %4, %3}, {[[1, 0], [3, 1], [2, 1]], %4, %1},

    {%4, [[3, 0], [1, 1], [2, 1]], %3}, {[[2, 1], [3, 1], [1, 0]], %4, %1},

    {[[2, 1], [3, 1], [1, 0]], %2, %1}, {%2, [[3, 0], [1, 1], [2, 1]], %3},

    {[[2, 1], [1, 1], [3, 0]], %2, %1}}

%1 := [[3, 0], [2, 1], [1, 1]]

%2 := [[1, 0], [2, 1], [3, 1]]

%3 := [[3, 1], [2, 1], [1, 0]]

%4 := [[1, 1], [2, 1], [3, 0]]

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%2, [[1, 0], [2, 1], [3, 1]], %3},

    {%2, %3, [[3, 1], [2, 1], [1, 0]]}, {%4, %1, [[3, 0], [2, 1], [1, 1]]},

    {%4, %1, [[1, 1], [2, 1], [3, 0]]}, {%4, %3, [[3, 1], [2, 1], [1, 0]]},

    {%4, [[1, 1], [2, 1], [3, 0]], %3}, {%2, %1, [[1, 0], [2, 1], [3, 1]]},

    {%2, %1, [[3, 0], [2, 1], [1, 1]]}}

%1 := [[2, 1], [3, 1], [1, 0]]

%2 := [[2, 1], [1, 1], [3, 0]]

%3 := [[3, 0], [1, 1], [2, 1]]

%4 := [[1, 0], [3, 1], [2, 1]]

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 0], [3, 1]], %2, [[3, 1], [2, 1], [1, 0]]},

    {[[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]], %1},

    {[[2, 0], [1, 1], [3, 1]], %2, [[3, 0], [2, 1], [1, 1]]},

    {[[1, 1], [3, 0], [2, 1]], %2, [[3, 0], [2, 1], [1, 1]]},

    {[[1, 1], [3, 1], [2, 0]], %2, [[3, 1], [2, 1], [1, 0]]},

    {[[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]], %1},

    {[[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 1], [3, 1]], %1},

    {[[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%2, [[1, 1], [2, 1], [3, 0]], %1},

    {%4, %3, [[1, 0], [2, 1], [3, 1]]}, {%4, [[1, 0], [2, 1], [3, 1]], %1},

    {%4, %3, [[3, 1], [2, 1], [1, 0]]}, {%4, %1, [[3, 0], [2, 1], [1, 1]]},

    {%2, %3, [[1, 1], [2, 1], [3, 0]]}, {%2, %3, [[3, 1], [2, 1], [1, 0]]},

    {%2, %1, [[3, 0], [2, 1], [1, 1]]}}

%1 := [[3, 0], [1, 1], [2, 1]]

%2 := [[2, 1], [1, 1], [3, 0]]

%3 := [[2, 1], [3, 1], [1, 0]]

%4 := [[1, 0], [3, 1], [2, 1]]

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]], %4, %3},

    {[[2, 0], [1, 1], [3, 1]], %4, %3}, {[[1, 1], [3, 0], [2, 1]], %4, %3},

    {[[2, 1], [3, 0], [1, 1]], %2, %1}, {[[1, 1], [3, 1], [2, 0]], %4, %3},

    {[[2, 0], [3, 1], [1, 1]], %2, %1}, {[[3, 1], [1, 0], [2, 1]], %2, %1},

    {[[3, 1], [1, 1], [2, 0]], %2, %1}}

%1 := [[3, 1], [2, 1], [1, 0]]

%2 := [[3, 0], [2, 1], [1, 1]]

%3 := [[1, 1], [2, 1], [3, 0]]

%4 := [[1, 0], [2, 1], [3, 1]]

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 1], [3, 0]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 0], [3, 1]]}}

the member , {[[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [2, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 0], [3, 1]], %2, [[1, 1], [2, 1], [3, 0]]},

    {[[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]], %2},

    {[[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]], %2},

    {[[2, 0], [1, 1], [3, 1]], %2, [[1, 1], [2, 1], [3, 0]]},

    {[[2, 1], [3, 0], [1, 1]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[2, 0], [3, 1], [1, 1]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[3, 1], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]], %1},

    {[[3, 1], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]], %2, %4},

    {[[1, 0], [3, 1], [2, 1]], %3, %4}, {[[1, 0], [3, 1], [2, 1]], %3, %1},

    {[[2, 1], [3, 1], [1, 0]], %2, %4}, {%2, [[3, 0], [1, 1], [2, 1]], %1},

    {[[2, 1], [3, 1], [1, 0]], %3, %4}, {%3, [[3, 0], [1, 1], [2, 1]], %1},

    {[[2, 1], [1, 1], [3, 0]], %2, %1}}

%1 := [[3, 0], [2, 1], [1, 1]]

%2 := [[1, 1], [2, 1], [3, 0]]

%3 := [[1, 0], [2, 1], [3, 1]]

%4 := [[3, 1], [2, 1], [1, 0]]

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]], %1},

    {[[2, 1], [3, 0], [1, 1]], %2, [[3, 1], [2, 1], [1, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 1], [3, 0]], %1},

    {[[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]], %1},

    {[[2, 0], [3, 1], [1, 1]], %2, [[3, 1], [2, 1], [1, 0]]},

    {%2, [[3, 1], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]},

    {%2, [[3, 1], [1, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]},

    {[[1, 1], [3, 1], [2, 0]], [[1, 0], [2, 1], [3, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]], %2, %1},

    {[[1, 0], [3, 1], [2, 1]], %2, %1}, {[[2, 1], [3, 1], [1, 0]], %2, %1},

    {%2, [[3, 0], [1, 1], [2, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]], %4, %1},

    {[[2, 1], [3, 0], [1, 1]], %2, %3}, {[[2, 0], [1, 1], [3, 1]], %4, %3},

    {[[1, 1], [3, 0], [2, 1]], %2, %3}, {%4, [[3, 1], [1, 0], [2, 1]], %1},

    {[[2, 0], [3, 1], [1, 1]], %4, %3}, {[[1, 1], [3, 1], [2, 0]], %2, %1},

    {%2, [[3, 1], [1, 1], [2, 0]], %1}}

%1 := [[3, 0], [2, 1], [1, 1]]

%2 := [[1, 0], [2, 1], [3, 1]]

%3 := [[3, 1], [2, 1], [1, 0]]

%4 := [[1, 1], [2, 1], [3, 0]]

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]], %4, %3},

    {[[2, 1], [3, 0], [1, 1]], %4, %3}, {[[2, 0], [1, 1], [3, 1]], %4, %1},

    {[[1, 1], [3, 0], [2, 1]], %2, %1}, {%4, [[3, 1], [1, 1], [2, 0]], %1},

    {[[2, 0], [3, 1], [1, 1]], %2, %3}, {[[1, 1], [3, 1], [2, 0]], %2, %3},

    {%2, [[3, 1], [1, 0], [2, 1]], %1}}

%1 := [[3, 0], [2, 1], [1, 1]]

%2 := [[1, 0], [2, 1], [3, 1]]

%3 := [[3, 1], [2, 1], [1, 0]]

%4 := [[1, 1], [2, 1], [3, 0]]

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]], %1},

    {[[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 1]], %1},

    {[[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 1]], %2},

    {[[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 1]], %2},

    {[[2, 1], [3, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]], %2},

    {[[2, 1], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]], %2},

    {[[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 1], [3, 0]], %1},

    {[[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 1], [3, 0]], %1}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]], %4, %1},

    {[[2, 1], [3, 0], [1, 1]], %4, %1}, {[[2, 0], [1, 1], [3, 1]], %4, %3},

    {[[1, 1], [3, 0], [2, 1]], %2, %3}, {[[1, 1], [3, 1], [2, 0]], %2, %1},

    {%2, [[3, 1], [1, 0], [2, 1]], %3}, {%4, [[3, 1], [1, 1], [2, 0]], %3},

    {[[2, 0], [3, 1], [1, 1]], %2, %1}}

%1 := [[3, 0], [2, 1], [1, 1]]

%2 := [[1, 1], [2, 1], [3, 0]]

%3 := [[3, 1], [2, 1], [1, 0]]

%4 := [[1, 0], [2, 1], [3, 1]]

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 0], [3, 1]]}, {

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 1], [3, 0]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[1, 0], [3, 1], [2, 1]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[1, 0], [3, 1], [2, 1]], %1, [[3, 0], [2, 1], [1, 1]]},

    {[[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]], %2},

    {[[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 1], [3, 0]], %2},

    {[[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 1], [3, 1]], %2},

    {[[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]], %2},

    {[[2, 1], [1, 1], [3, 0]], %1, [[3, 0], [2, 1], [1, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[3, 0], [2, 1], [1, 1]], [[3, 1], [2, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, [[2, 1], [1, 0], [3, 1]], %3},

    {%4, [[2, 0], [1, 1], [3, 1]], %1}, {%2, [[2, 1], [3, 0], [1, 1]], %1},

    {%4, [[2, 0], [3, 1], [1, 1]], %1}, {%4, %3, [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], %2, %3}, {%2, %3, [[3, 1], [1, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 1]], %2, %1}}

%1 := [[3, 0], [1, 1], [2, 1]]

%2 := [[2, 1], [1, 1], [3, 0]]

%3 := [[2, 1], [3, 1], [1, 0]]

%4 := [[1, 0], [3, 1], [2, 1]]

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]], %2, %3},

    {[[2, 1], [3, 0], [1, 1]], %4, %1}, {[[2, 0], [1, 1], [3, 1]], %2, %1},

    {[[1, 1], [3, 0], [2, 1]], %4, %1}, {[[1, 1], [3, 1], [2, 0]], %4, %3},

    {%4, [[3, 1], [1, 1], [2, 0]], %3}, {%2, [[3, 1], [1, 0], [2, 1]], %3},

    {[[2, 0], [3, 1], [1, 1]], %2, %1}}

%1 := [[3, 0], [2, 1], [1, 1]]

%2 := [[1, 0], [2, 1], [3, 1]]

%3 := [[3, 1], [2, 1], [1, 0]]

%4 := [[1, 1], [2, 1], [3, 0]]

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]], %2},

    {[[2, 1], [3, 0], [1, 1]], %1, [[3, 0], [2, 1], [1, 1]]},

    {[[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 1], [3, 1]], %2},

    {[[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]], %2},

    {[[1, 1], [3, 1], [2, 0]], [[1, 1], [2, 1], [3, 0]], %2},

    {%1, [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]},

    {%1, [[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]},

    {[[2, 0], [3, 1], [1, 1]], %1, [[3, 0], [2, 1], [1, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]], %2},

    {[[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]], %2},

    {[[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 1]], %1},

    {[[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]], %1},

    {[[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]], %2},

    {[[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]], %2},

    {[[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]], %1},

    {[[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]], %1}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [2, 0], [1, 1]]}, {[[1, 1], [2, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]], %4, %3},

    {%2, %1, [[2, 1], [3, 0], [1, 1]]}, {%2, %1, [[2, 0], [3, 1], [1, 1]]},

    {[[2, 0], [1, 1], [3, 1]], %4, %3}, {[[1, 1], [3, 0], [2, 1]], %4, %3},

    {[[1, 1], [3, 1], [2, 0]], %4, %3}, {%2, %1, [[3, 1], [1, 0], [2, 1]]},

    {%2, %1, [[3, 1], [1, 1], [2, 0]]}}

%1 := [[2, 1], [1, 1], [3, 0]]

%2 := [[1, 0], [3, 1], [2, 1]]

%3 := [[3, 0], [1, 1], [2, 1]]

%4 := [[2, 1], [3, 1], [1, 0]]

the member , {[[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 0], [3, 1]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]], %1},

    {[[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]], %1},

    {[[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]], %1},

    {[[1, 1], [3, 1], [2, 0]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 1], [3, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 1], [1, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 0], [3, 1]], %1, [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]], %1},

    {[[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]], %2},

    {[[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]], %1},

    {[[1, 1], [3, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]], %2},

    {[[1, 1], [3, 1], [2, 0]], %1, [[3, 1], [1, 0], [2, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 1], [3, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 1], [2, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [2, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]], %2},

    {[[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 1], [3, 1]], %2},

    {[[1, 1], [3, 0], [2, 1]], %2, [[1, 1], [2, 1], [3, 0]]},

    {[[1, 1], [3, 1], [2, 0]], %2, [[1, 1], [2, 1], [3, 0]]},

    {[[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]], %1},

    {[[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 1], [1, 1]], %1},

    {[[3, 1], [1, 0], [2, 1]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[3, 1], [1, 1], [2, 0]], %1, [[3, 1], [2, 1], [1, 0]]}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 1], [3, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]], %1},

    {[[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]], %1},

    {[[2, 0], [1, 1], [3, 1]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[1, 1], [3, 0], [2, 1]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]], %1},

    {[[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 0], [3, 1]], %2, [[3, 0], [2, 1], [1, 1]]},

    {[[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]], %1},

    {[[2, 0], [1, 1], [3, 1]], %2, [[3, 1], [2, 1], [1, 0]]},

    {[[1, 1], [3, 0], [2, 1]], %2, [[3, 1], [2, 1], [1, 0]]},

    {[[1, 1], [3, 1], [2, 0]], %2, [[3, 0], [2, 1], [1, 1]]},

    {[[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]], %1},

    {[[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 1], [3, 0]], %1},

    {[[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 1], [3, 0]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]], %1},

    {[[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]], %1},

    {[[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]], %1},

    {[[1, 0], [3, 1], [2, 1]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [2, 1], [3, 1]], %2, %1},

    {%2, [[1, 1], [2, 1], [3, 0]], %1}, {%2, %1, [[3, 1], [2, 1], [1, 0]]},

    {%2, [[3, 0], [2, 1], [1, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]], %2},

    {[[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]], %1},

    {[[2, 1], [1, 1], [3, 0]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[2, 0], [1, 1], [3, 1]], %1, [[3, 0], [1, 1], [2, 1]]},

    {[[1, 1], [3, 0], [2, 1]], %1, [[3, 0], [1, 1], [2, 1]]},

    {[[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]], %2},

    {[[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]], %1}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 1], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 0], [1, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 1]],

    [[1, 1], [3, 1], [2, 0]]}, {[[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]]}}

the member , {[[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 0], [1, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%2, %1, [[3, 1], [1, 1], [2, 0]]},

    {%2, [[2, 1], [3, 0], [1, 1]], %3}, {%4, [[2, 0], [3, 1], [1, 1]], %3},

    {%4, [[1, 1], [3, 0], [2, 1]], %1}, {%4, [[1, 1], [3, 1], [2, 0]], %3},

    {%4, %1, [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]], %2, %3},

    {[[2, 0], [1, 1], [3, 1]], %2, %1}}

%1 := [[3, 0], [1, 1], [2, 1]]

%2 := [[2, 1], [1, 1], [3, 0]]

%3 := [[2, 1], [3, 1], [1, 0]]

%4 := [[1, 0], [3, 1], [2, 1]]

the member , {[[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%4, [[2, 1], [1, 0], [3, 1]], %1},

    {%4, [[2, 0], [1, 1], [3, 1]], %3}, {%4, [[2, 1], [3, 0], [1, 1]], %1},

    {%2, [[2, 0], [3, 1], [1, 1]], %1}, {%4, %3, [[3, 1], [1, 1], [2, 0]]},

    {[[1, 1], [3, 0], [2, 1]], %2, %3}, {%2, %3, [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], %2, %1}}

%1 := [[3, 0], [1, 1], [2, 1]]

%2 := [[2, 1], [1, 1], [3, 0]]

%3 := [[2, 1], [3, 1], [1, 0]]

%4 := [[1, 0], [3, 1], [2, 1]]

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[2, 1], [3, 1], [1, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 0], [3, 1], [1, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 1], [2, 0]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]], %2, %1},

    {[[2, 1], [3, 0], [1, 1]], %2, %1}, {[[2, 0], [1, 1], [3, 1]], %2, %1},

    {[[1, 1], [3, 0], [2, 1]], %2, %1}, {[[1, 1], [3, 1], [2, 0]], %2, %1},

    {%2, [[3, 1], [1, 1], [2, 0]], %1}, {%2, [[3, 1], [1, 0], [2, 1]], %1},

    {[[2, 0], [3, 1], [1, 1]], %2, %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 1], [1, 0], [3, 1]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]], %4, %3},

    {[[2, 1], [3, 0], [1, 1]], %2, %1}, {[[2, 0], [1, 1], [3, 1]], %4, %3},

    {[[1, 1], [3, 0], [2, 1]], %4, %3}, {%2, %1, [[3, 1], [1, 1], [2, 0]]},

    {%2, %1, [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]], %4, %3},

    {[[2, 0], [3, 1], [1, 1]], %2, %1}}

%1 := [[1, 1], [2, 1], [3, 0]]

%2 := [[1, 0], [2, 1], [3, 1]]

%3 := [[3, 1], [2, 1], [1, 0]]

%4 := [[3, 0], [2, 1], [1, 1]]

the member , {[[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 1], [3, 0]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[2, 1], [1, 0], [3, 1]], [[3, 0], [1, 1], [2, 1]], %1},

    {[[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 1], [1, 0]], %1},

    {[[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]], %1},

    {[[1, 0], [3, 1], [2, 1]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [1, 1], [3, 0]],

    [[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]], %1},

    {[[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 1]], %1},

    {[[2, 1], [3, 0], [1, 1]], %2, [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [3, 1], [1, 0]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[2, 1], [3, 1], [1, 0]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[2, 0], [3, 1], [1, 1]], %2, [[3, 0], [1, 1], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 1], [3, 0]], %1},

    {[[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 1], [3, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]], %4, %3},

    {[[2, 0], [3, 1], [1, 1]], %4, %3}, {%4, %3, [[3, 1], [1, 1], [2, 0]]},

    {%4, %3, [[3, 1], [1, 0], [2, 1]]}, {%2, [[2, 1], [1, 0], [3, 1]], %1},

    {%2, [[2, 0], [1, 1], [3, 1]], %1}, {%2, [[1, 1], [3, 1], [2, 0]], %1},

    {%2, [[1, 1], [3, 0], [2, 1]], %1}}

%1 := [[2, 1], [1, 1], [3, 0]]

%2 := [[1, 0], [3, 1], [2, 1]]

%3 := [[3, 0], [1, 1], [2, 1]]

%4 := [[2, 1], [3, 1], [1, 0]]

the member , {[[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 0], [1, 1], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[1, 0], [2, 1], [3, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, {[[1, 1], [3, 1], [2, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[1, 1], [2, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [2, 1], [1, 0]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]], %2},

    {[[2, 1], [1, 0], [3, 1]], %1, [[3, 0], [1, 1], [2, 1]]},

    {[[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 1], [1, 0]], %1},

    {[[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]], %1},

    {[[1, 0], [3, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]], %2},

    {[[1, 1], [3, 1], [2, 0]], %1, [[3, 0], [1, 1], [2, 1]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[2, 1], [1, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]],

    [[3, 1], [2, 0], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 0], [2, 1], [3, 1]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [2, 1], [3, 0]],

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 0], [2, 1], [3, 1]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[1, 0], [3, 1], [2, 1]],

    [[2, 1], [1, 0], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 0], [1, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 1], [3, 0], [1, 1]], [[3, 0], [1, 1], [2, 1]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [1, 0], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 0], [3, 1], [1, 1]],

    [[3, 0], [1, 1], [2, 1]]}, {[[1, 1], [3, 0], [2, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 1], [1, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}}

the member , {[[1, 0], [3, 1], [2, 1]], [[2, 1], [1, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%2, %1, [[3, 1], [1, 0], [2, 1]]},

    {%4, [[2, 1], [3, 0], [1, 1]], %3}, {%2, [[2, 0], [3, 1], [1, 1]], %3},

    {%4, [[1, 1], [3, 0], [2, 1]], %3}, {%4, [[1, 1], [3, 1], [2, 0]], %1},

    {%4, %1, [[3, 1], [1, 1], [2, 0]]}, {[[2, 0], [1, 1], [3, 1]], %2, %3},

    {[[2, 1], [1, 0], [3, 1]], %2, %1}}

%1 := [[3, 0], [1, 1], [2, 1]]

%2 := [[2, 1], [1, 1], [3, 0]]

%3 := [[2, 1], [3, 1], [1, 0]]

%4 := [[1, 0], [3, 1], [2, 1]]

the member , {[[2, 1], [1, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[3, 0], [1, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]]}, {

    [[2, 1], [1, 1], [3, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[2, 0], [1, 1], [3, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]]}, {

    [[1, 1], [3, 1], [2, 0]], [[3, 0], [1, 1], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 1], [3, 0]],

    [[3, 1], [1, 0], [2, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 1], [3, 0]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[1, 0], [2, 1], [3, 1]], %2, [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [3, 1], [1, 0]], [[1, 0], [2, 1], [3, 1]], %2},

    {[[1, 0], [3, 1], [2, 1]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[1, 0], [3, 1], [2, 1]], [[3, 0], [2, 1], [1, 1]], %1},

    {%2, [[1, 1], [2, 1], [3, 0]], [[3, 0], [1, 1], [2, 1]]},

    {[[2, 1], [3, 1], [1, 0]], %2, [[1, 1], [2, 1], [3, 0]]},

    {[[2, 1], [1, 1], [3, 0]], [[3, 0], [2, 1], [1, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 1], [1, 1], [3, 0]], [[3, 1], [2, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [3, 0], [1, 1]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 0], [1, 1], [3, 1]],

    [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]}, {

    [[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 1], [3, 0], [2, 1]],

    [[1, 0], [2, 1], [3, 1]], [[3, 1], [1, 0], [2, 1]]}, {

    [[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]],

    [[1, 0], [2, 1], [3, 1]]}, {[[1, 1], [3, 1], [2, 0]],

    [[2, 0], [3, 1], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[1, 1], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}}

the member , {[[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 1], [3, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 1], [3, 1]], %2},

    {[[1, 0], [2, 1], [3, 1]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[2, 1], [1, 0], [3, 1]], %1, [[3, 1], [2, 1], [1, 0]]},

    {[[2, 1], [3, 0], [1, 1]], %2, [[1, 1], [2, 1], [3, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[3, 0], [2, 1], [1, 1]], %1},

    {[[1, 1], [3, 0], [2, 1]], [[3, 0], [2, 1], [1, 1]], %1},

    {%2, [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 1], [2, 0]]},

    {[[1, 1], [3, 1], [2, 0]], %1, [[3, 1], [2, 1], [1, 0]]}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 0], [3, 1], [1, 1]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{%3, %6, %2}, {%3, %6, %4},

    {%5, %1, %4}, {%6, %5, %4}, {%5, %2, %1}, {%6, %5, %2}, {%3, %1, %4},

    {%3, %2, %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[3, 0], [2, 1], [1, 1]]

%3 := [[1, 0], [2, 1], [3, 1]]

%4 := [[3, 1], [2, 1], [1, 0]]

%5 := [[1, 1], [2, 1], [3, 0]]

%6 := [[1, 1], [2, 0], [3, 1]]

the member , {[[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 0], [3, 1]],

    [[3, 0], [2, 1], [1, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]], %2},

    {[[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]], %1},

    {[[2, 0], [1, 1], [3, 1]], %2, [[3, 1], [1, 1], [2, 0]]},

    {[[2, 0], [1, 1], [3, 1]], [[3, 1], [1, 1], [2, 0]], %1},

    {[[1, 1], [3, 0], [2, 1]], %2, [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]], %2},

    {[[1, 1], [3, 1], [2, 0]], [[2, 0], [3, 1], [1, 1]], %1},

    {[[1, 1], [3, 0], [2, 1]], [[3, 1], [1, 0], [2, 1]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 1], [1, 0], [3, 1]], [[2, 1], [3, 0], [1, 1]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [3, 0], [1, 1]],

    [[2, 1], [3, 1], [1, 0]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, {[[1, 0], [3, 1], [2, 1]],

    [[1, 1], [3, 0], [2, 1]], [[1, 0], [2, 1], [3, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]],

    [[1, 0], [2, 1], [3, 1]]}, {[[3, 0], [1, 1], [2, 1]],

    [[3, 1], [1, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]]}, {

    [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]],

    [[3, 0], [2, 1], [1, 1]]}, {[[2, 1], [1, 0], [3, 1]],

    [[2, 1], [1, 1], [3, 0]], [[1, 1], [2, 1], [3, 0]]}, {

    [[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]],

    [[1, 1], [2, 1], [3, 0]]}}

the member , {[[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[3, 1], [2, 1], [1, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {{[[2, 1], [1, 1], [3, 0]],

    [[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 0], [3, 1]]}, {

    [[1, 0], [3, 1], [2, 1]], [[1, 1], [2, 0], [3, 1]],

    [[1, 1], [2, 1], [3, 0]]}, {[[3, 0], [1, 1], [2, 1]],

    [[3, 1], [2, 0], [1, 1]], [[3, 1], [2, 1], [1, 0]]}, {

    [[2, 1], [3, 1], [1, 0]], [[3, 0], [2, 1], [1, 1]],

    [[3, 1], [2, 0], [1, 1]]}}

the member , {[[2, 1], [1, 1], [3, 0]], [[1, 0], [2, 1], [3, 1]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[1, 0], [2, 1], [3, 1]], %1, [[3, 1], [1, 1], [2, 0]]},

    {[[2, 1], [3, 0], [1, 1]], [[1, 0], [2, 1], [3, 1]], %1},

    {[[2, 1], [1, 0], [3, 1]], [[3, 0], [2, 1], [1, 1]], %2},

    {[[2, 0], [1, 1], [3, 1]], %2, [[3, 1], [2, 1], [1, 0]]},

    {[[1, 1], [3, 0], [2, 1]], %2, [[3, 1], [2, 1], [1, 0]]},

    {%1, [[1, 1], [2, 1], [3, 0]], [[3, 1], [1, 0], [2, 1]]},

    {[[1, 1], [3, 1], [2, 0]], [[3, 0], [2, 1], [1, 1]], %2},

    {[[2, 0], [3, 1], [1, 1]], %1, [[1, 1], [2, 1], [3, 0]]}}

%1 := [[1, 1], [2, 0], [3, 1]]

%2 := [[3, 1], [2, 0], [1, 1]]

the member , {[[1, 0], [2, 1], [3, 1]], [[1, 1], [2, 0], [3, 1]],

    [[3, 1], [1, 1], [2, 0]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

For the equivalence class of patterns, {

    {[[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]], %2},

    {[[2, 0], [3, 1], [1, 1]], [[2, 1], [3, 1], [1, 0]], %2},

    {[[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 0], [2, 1]], %1},

    {[[1, 0], [3, 1], [2, 1]], [[1, 1], [3, 1], [2, 0]], %1},

    {%2, [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 1], [2, 0]]},

    {%2, [[3, 0], [1, 1], [2, 1]], [[3, 1], [1, 0], [2, 1]]},

    {[[2, 1], [1, 0], [3, 1]], [[2, 1], [1, 1], [3, 0]], %1},

    {[[2, 0], [1, 1], [3, 1]], [[2, 1], [1, 1], [3, 0]], %1}}

%1 := [[3, 1], [2, 0], [1, 1]]

%2 := [[1, 1], [2, 0], [3, 1]]

the member , {[[2, 1], [3, 0], [1, 1]], [[2, 1], [3, 1], [1, 0]],

    [[1, 1], [2, 0], [3, 1]]}, has a scheme of depth , 1

                                  here it is:

                  {[[], {}, {}, {}], [[1], {[0, 0]}, {1}, {}]}

      Naively, we would expect the sequence to begin , 1, 0, 0, 0, 0, 0, 0

                 Using  the scheme, the first, , 31, terms are

[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,

    0, 0, 0, 0, 0]

                        Out of a total of , 118, cases

                     118, were successful and , 0, failed

                               Success Rate: , 1.

                             Here are the failures

                                       {}

                                       {}