A022723 Expansion of Product_{m>=1} (1+m*q^m)^-31.

1, -31, 434, -3627, 20367, -84537, 296825, -1027805, 3586700, -11522204, 33703882, -97807604, 289043659, -814257997, 2164448117, -5763699428, 15479115951, -40058137473, 100379076723, -252617470522, 633832842041

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)^-31, {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)^-31)) \\ G. C. Greubel, Jul 20 2018