

A119270


Triangle: number of exactly (m1)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
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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,m1).


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. AdamsWatters, May 11 2006


EXTENSIONS

More terms from Max Alekseyev, May 15 2006


STATUS

approved



