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A119270 Triangle: number of exactly (m-1)-dimensional partitions of n, up to conjugacy, for n >= 1, m >= 0. 5
1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 3, 2, 1, 0, 1, 5, 5, 2, 1, 0, 1, 7, 11, 6, 2, 1, 0, 1, 11, 21, 16, 6, 2, 1, 0, 1, 15, 39, 38, 18, 6, 2, 1, 0, 1, 21, 73, 86, 51, 19, 6, 2, 1, 0, 1, 28, 129, 193, 135, 57, 19, 6, 2, 1, 0, 1, 39, 227, 420, 352, 170, 59, 19, 6, 2, 1, 0, 1, 51, 390, 890, 894 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,9

COMMENTS

The partition of 1 is considered to be dimension -1 by convention.

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

LINKS

Table of n, a(n) for n=1..84.

FORMULA

a(n,m) = A119269(n,m)-A119269(n,m-1).

EXAMPLE

Table starts:

1

0,1

0,1,1

0,1,2,1

0,1,3,2,1

CROSSREFS

Cf. A119269, A119271.

Reversed triangle is A119339. Columns stabilize to A118364.

Sequence in context: A244003 A332670 A118344 * A267109 A175804 A241063

Adjacent sequences:  A119267 A119268 A119269 * A119271 A119272 A119273

KEYWORD

nonn,tabl

AUTHOR

Franklin T. Adams-Watters, May 11 2006

EXTENSIONS

More terms from Max Alekseyev, May 15 2006

STATUS

approved

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Last modified September 25 06:05 EDT 2020. Contains 337335 sequences. (Running on oeis4.)