A022706 Expansion of Product_{m>=1} (1+m*q^m)^-14.

1, -14, 77, -210, 392, -1288, 4697, -9998, 18179, -55636, 150591, -286832, 608909, -1554042, 3444055, -6999356, 14790755, -32329780, 70059535, -141733788, 282586556, -600593730, 1244075259, -2429815472, 4846233028

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)^-14, {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)^-14)) \\ G. C. Greubel, Jul 20 2018