The maximal number of partitions of {1..3n} that are invariant under a permutation consisting of n 3-cycles, and which have the same number of nonempty parts.

A294202

The maximal number of partitions of {1..3n} that are invariant under a permutation consisting of n 3-cycles, and which have the same number of nonempty parts.

Terms

    a(0) =1a(1) =1a(2) =3a(3) =12a(4) =67a(5) =465a(6) =3675a(7) =30024a(8) =299250a(9) =3417690a(10) =38983966a(11) =446295630a(12) =6494597538a(13) =95113861987

External references