A119268 Number of infinite-dimensional partitions of n up to conjugacy.

1, 1, 1, 2, 4, 7, 14, 28, 58, 120, 260, 571, 1296, 2998, 7124

Offset: 0

Author

Franklin T. Adams-Watters, May 11 2006

Keywords

• more
• nonn

Comments

Partitions are considered as generalized Ferrers diagrams; any permutation of the axes produces a conjugate. An infinite-dimensional partition thus has infinitely many conjugates. However, an infinite-dimensional partition of n always has a conjugate of dimension at most n-2, so this sequence is always finite.

Crossrefs

Cf. A119338, A118364, A118365.

Formula

a(n) = A119338(k,n) = A119269(n,k) for any k >= n-2. - Max Alekseyev, Mar 20 2025

Extensions

More terms from Max Alekseyev, May 16 2006