Warning, the protected name Chi has been redefined and unprotected
             There all together, 2, different equivalence classes

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

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

                                  here it is:

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

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

 Using  the scheme, the first, , 10, terms for , 1,  copies of each letter are

                 [1, 2, 5, 14, 42, 132, 429, 1430, 4862, 16796]

 Using  the scheme, the first, , 10, terms for , 2,  copies of each letter are

       [1, 6, 43, 352, 3114, 29004, 280221, 2782476, 28221784, 291138856]

 Using  the scheme, the first, , 10, terms for , 3,  copies of each letter are

[1, 20, 374, 8124, 190893, 4727788, 121543500, 3212914524, 86782926068,

    2384725558736]

For the equivalence class of patterns,

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

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

                                  here it is:

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

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

 Using  the scheme, the first, , 10, terms for , 1,  copies of each letter are

                 [1, 2, 5, 14, 42, 132, 429, 1430, 4862, 16796]

 Using  the scheme, the first, , 10, terms for , 2,  copies of each letter are

       [1, 6, 43, 352, 3114, 29004, 280221, 2782476, 28221784, 291138856]

 Using  the scheme, the first, , 10, terms for , 3,  copies of each letter are

[1, 20, 374, 8124, 190893, 4727788, 121543500, 3212914524, 86782926068,

    2384725558736]

                         Out of a total of , 2, cases

                      2, were successful and , 0, failed

                               Success Rate: , 1.

                             Here are the failures

                                       {}