A022717 Expansion of Product_{m>=1} (1+m*q^m)^-25.

1, -25, 275, -1750, 7300, -23255, 73150, -252625, 796275, -2137925, 5733355, -16646550, 45304475, -111461125, 280683700, -735052700, 1815283450, -4275549750, 10301217900, -24923579950, 58128778485, -133132664600

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)^-25, {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)^-25)) \\ G. C. Greubel, Jul 20 2018