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A022736 Expansion of Product_{m>=1} (1-m*q^m)^-12. 1
1, 12, 102, 688, 4029, 21156, 102246, 461448, 1967658, 7990996, 31110432, 116685288, 423366831, 1490904528, 5110173678, 17088259888, 55862240688, 178836472032, 561532752086, 1731639278904, 5250722230962 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..20.

MATHEMATICA

With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^-12, {k, 1, nmax}], {q, 0, nmax}], q]] (* G. C. Greubel, Jul 25 2018 *)

PROG

(PARI) m=50; q='q+O('q^m); Vec(prod(n=1, m, (1-n*q^n)^-12)) \\ G. C. Greubel, Jul 25 2018

(MAGMA) n:=50; R<x>:=PowerSeriesRing(Integers(), n); Coefficients(R!(&*[(1/(1-m*x^m))^12:m in [1..n]])); // G. C. Greubel, Jul 25 2018

CROSSREFS

Sequence in context: A109020 A099299 A304504 * A261483 A082151 A125375

Adjacent sequences:  A022733 A022734 A022735 * A022737 A022738 A022739

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified July 20 01:38 EDT 2019. Contains 325168 sequences. (Running on oeis4.)