The maximal number of partitions of {1..2n} that are invariant under a permutation consisting of n 2-cycles, and which have the same number of nonempty parts.

A002873

The maximal number of partitions of {1..2n} that are invariant under a permutation consisting of n 2-cycles, and which have the same number of nonempty parts.

Terms

    a(0) =1a(1) =1a(2) =3a(3) =10a(4) =53a(5) =265a(6) =1700a(7) =13097a(8) =96796a(9) =829080a(10) =8009815a(11) =75604892a(12) =808861988a(13) =9175286549a(14) =106167118057

External references