A022724 Expansion of Product_{m>=1} (1+m*q^m)^-32.

1, -32, 464, -4032, 23624, -102208, 369152, -1288640, 4532900, -14879712, 44466784, -129948864, 386117312, -1105967680, 2987155392, -7997827968, 21623750538, -56758985984, 143841619760, -363972575296, 920811469312

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

Mathematica

With[{nmax = 50}, CoefficientList[Series[Product[(1 + k*q^k)^-32, {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)^-32)) \\ G. C. Greubel, Jul 25 2018

Crossrefs

Sequence in context: A076070 A133348 A010837 * A284339 A125467 A282525

Adjacent sequences: A022721 A022722 A022723 * A022725 A022726 A022727

Keyword

sign

Author

N. J. A. Sloane

Status

approved