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

0,4

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.

Links

Table of n, a(n) for n=0..14.

Crossrefs

Cf. A119338, A118364, A118365.

Sequence in context: A119340 A119341 A119342 * A002989 A293336 A321401

Adjacent sequences: A119265 A119266 A119267 * A119269 A119270 A119271

Keyword

more,nonn

Author

Franklin T. Adams-Watters, May 11 2006

Extensions

More terms from Max Alekseyev, May 16 2006

Status

approved