A022722 Expansion of Product_{m>=1} (1+m*q^m)^(-30).

1, -30, 405, -3250, 17460, -69456, 237485, -817830, 2827605, -8867120, 25403229, -73380060, 215448665, -595626330, 1559581965, -4136899912, 11020769280, -28085275230, 69659708200, -174426721890, 433560026502

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)^-30, {k, 1, nmax}], {q, 0, nmax}], q]] (* G. C. Greubel, Jul 20 2018 *)

PARI

m=50; q='q+O('q^m); Vec(prod(n=1,m,(1+n*q^n)^-30)) \\ G. C. Greubel, Jul 20 2018