A022714 Expansion of Product_{m>=1} (1+m*q^m)^-22.

1, -22, 209, -1122, 3894, -10956, 35123, -120362, 337106, -821854, 2257728, -6472050, 15946777, -37180990, 95117858, -239904786, 552195127, -1268645554, 3023055717, -7022547026, 15717464257, -35081020348

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)^-22, {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)^-22)) \\ G. C. Greubel, Jul 20 2018