"There are ", 10, " pattern sets of type ", [2, 2]

              "They fall into ", 5, " trivial pattern classes."

               "---------------------------------------------"

   "For the equivalence class ", {{[0, 1], [1, 0]}}, " the pattern set ", 

     {[0, 1], [1, 0]}, " has the scheme ", 

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


"First ", 15, " terms of the counting sequence are ", [2, 3, 7, 25, 121, 721, 

  5041, 40321, 362881, 3628801, 39916801, 479001601, 6227020801, 87178291201, 

  1307674368001]


               "First ", 15, " rows of the 0s triangle are: "

                                   [1, 1]

                                  [2, 0, 1]

                                [6, 0, 0, 1]

                              [24, 0, 0, 0, 1]

                            [120, 0, 0, 0, 0, 1]

                           [720, 0, 0, 0, 0, 0, 1]

                         [5040, 0, 0, 0, 0, 0, 0, 1]

                       [40320, 0, 0, 0, 0, 0, 0, 0, 1]

                     [362880, 0, 0, 0, 0, 0, 0, 0, 0, 1]

                   [3628800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]

                 [39916800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]

               [479001600, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]

             [6227020800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]

           [87178291200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]

        [1307674368000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]

               "---------------------------------------------"

"For the equivalence class ", {{[1, 2], [2, 1]}}, " the pattern set ", 

  {[1, 2], [2, 1]}, " has the scheme ", [[[], {}, {}], [[0], {1}, {[[2], 0]}], 

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


     "First ", 15, " terms of the counting sequence are ", 

       [2, 5, 10, 17, 26, 37, 50, 65, 82, 101, 122, 145, 170, 197, 226]


               "First ", 15, " rows of the 0s triangle are: "

                                   [1, 1]

                                  [0, 4, 1]

                                [0, 0, 9, 1]

                              [0, 0, 0, 16, 1]

                             [0, 0, 0, 0, 25, 1]

                           [0, 0, 0, 0, 0, 36, 1]

                          [0, 0, 0, 0, 0, 0, 49, 1]

                        [0, 0, 0, 0, 0, 0, 0, 64, 1]

                       [0, 0, 0, 0, 0, 0, 0, 0, 81, 1]

                     [0, 0, 0, 0, 0, 0, 0, 0, 0, 100, 1]

                   [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 121, 1]

                  [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 1]

                [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 169, 1]

               [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 196, 1]

             [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 225, 1]

               "---------------------------------------------"

"For the equivalence class ", {{[0, 0], [0, 1]}, {[0, 0], [1, 0]}}, 

  " the pattern set ", {[0, 0], [0, 1]}, " has the scheme ", 

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


 "First ", 15, " terms of the counting sequence are ", [2, 4, 12, 48, 240, 

   1440, 10080, 80640, 725760, 7257600, 79833600, 958003200, 12454041600, 

   174356582400, 2615348736000]


               "First ", 15, " rows of the 0s triangle are: "

                                   [1, 1]

                                  [2, 2, 0]

                                [6, 6, 0, 0]

                              [24, 24, 0, 0, 0]

                           [120, 120, 0, 0, 0, 0]

                          [720, 720, 0, 0, 0, 0, 0]

                       [5040, 5040, 0, 0, 0, 0, 0, 0]

                     [40320, 40320, 0, 0, 0, 0, 0, 0, 0]

                  [362880, 362880, 0, 0, 0, 0, 0, 0, 0, 0]

                [3628800, 3628800, 0, 0, 0, 0, 0, 0, 0, 0, 0]

             [39916800, 39916800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]

           [479001600, 479001600, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]

        [6227020800, 6227020800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]

      [87178291200, 87178291200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]

  [1307674368000, 1307674368000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]

               "---------------------------------------------"

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

  " the pattern set ", {[0, 0], [1, 2]}, " has the scheme ", [[[], {}, {}], 

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


     "First ", 15, " terms of the counting sequence are ", 

       [2, 5, 10, 17, 26, 37, 50, 65, 82, 101, 122, 145, 170, 197, 226]


               "First ", 15, " rows of the 0s triangle are: "

                                   [1, 1]

                                  [1, 4, 0]

                                [1, 9, 0, 0]

                              [1, 16, 0, 0, 0]

                             [1, 25, 0, 0, 0, 0]

                           [1, 36, 0, 0, 0, 0, 0]

                          [1, 49, 0, 0, 0, 0, 0, 0]

                        [1, 64, 0, 0, 0, 0, 0, 0, 0]

                       [1, 81, 0, 0, 0, 0, 0, 0, 0, 0]

                     [1, 100, 0, 0, 0, 0, 0, 0, 0, 0, 0]

                   [1, 121, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]

                  [1, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]

                [1, 169, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]

               [1, 196, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]

             [1, 225, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]

               "---------------------------------------------"

"For the equivalence class ", 

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

  " the pattern set ", {[0, 1], [1, 2]}, " has the scheme ", 

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


"First ", 15, " terms of the counting sequence are ", 

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


               "First ", 15, " rows of the 0s triangle are: "

                                   [1, 1]

                                  [1, 2, 1]

                                [1, 3, 3, 1]

                               [1, 4, 6, 4, 1]

                            [1, 5, 10, 10, 5, 1]

                          [1, 6, 15, 20, 15, 6, 1]

                        [1, 7, 21, 35, 35, 21, 7, 1]

                      [1, 8, 28, 56, 70, 56, 28, 8, 1]

                   [1, 9, 36, 84, 126, 126, 84, 36, 9, 1]

               [1, 10, 45, 120, 210, 252, 210, 120, 45, 10, 1]

            [1, 11, 55, 165, 330, 462, 462, 330, 165, 55, 11, 1]

          [1, 12, 66, 220, 495, 792, 924, 792, 495, 220, 66, 12, 1]

     [1, 13, 78, 286, 715, 1287, 1716, 1716, 1287, 715, 286, 78, 13, 1]

 [1, 14, 91, 364, 1001, 2002, 3003, 3432, 3003, 2002, 1001, 364, 91, 14, 1]

[1, 15, 105, 455, 1365, 3003, 5005, 6435, 6435, 5005, 3003, 1365, 455, 105, 

  15, 1]


               "---------------------------------------------"

            "Overall, we found schemes for ", 5, " out of ", 5, 

              " trivial classes, for a success rate of ", 1.