A022719 Expansion of Product_{m>=1} (1+m*q^m)^-27.

1, -27, 324, -2277, 10584, -36882, 118395, -406836, 1347273, -3870993, 10536993, -30432051, 86382090, -223153434, 565228773, -1490547915, 3825187308, -9277759872, 22515299145, -55438134588, 132989193954

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)^-27, {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)^-27)) \\ G. C. Greubel, Jul 20 2018