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

Author

N. J. A. Sloane

Keywords

• sign

Links

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

Programs

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 *)

PARI

m=50; q='q+O('q^m); Vec(prod(n=1,m,(1+n*q^n)^-32)) \\ G. C. Greubel, Jul 25 2018