A022711 Expansion of Product_{m>=1} (1+m*q^m)^-19.

1, -19, 152, -665, 1862, -4864, 16891, -53770, 126654, -297768, 874703, -2302800, 5022650, -11816556, 30449894, -70624311, 153691133, -351589585, 812477658, -1798826901, 3880086254, -8420178035, 18486176635

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)^-19, {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)^-19)) \\ G. C. Greubel, Jul 20 2018