The On-Line Encyclopedia of Integer Sequences (OEIS)

A119338 revision #7

A119338

Table by antidiagonals: a(m,n) is the number of m-dimensional partitions of n up to conjugacy, for m >= 0, n >= 1.

1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 2, 4, 4, 1, 1, 1, 2, 4, 6, 6, 1, 1, 1, 2, 4, 7, 11, 8, 1, 1, 1, 2, 4, 7, 13, 19, 12, 1, 1, 1, 2, 4, 7, 14, 25, 33, 16, 1, 1, 1, 2, 4, 7, 14, 27, 49, 55, 22, 1, 1, 1, 2, 4, 7, 14, 28, 55, 93, 95, 29, 1, 1, 1, 2, 4, 7, 14, 28, 57, 111, 181, 158, 40, 1

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OFFSET

1,9

COMMENTS

Partitions are considered as generalized Ferrers diagrams; any permutation of the axes produces a conjugate.

LINKS

Table of n, a(n) for n=1..91.

EXAMPLE

Table starts:

1, 1, 1, 1, 1, 1, ...

1, 1, 2, 3, 4, 6, ...

1, 1, 2, 4, 6, 11, ...