A022702 Expansion of Product_{m>=1} (1+m*q^m)^(-10).

1, -10, 35, -50, 95, -502, 1180, -1420, 4035, -12860, 22714, -40930, 98505, -214720, 435325, -813962, 1593055, -3568600, 6919100, -12241860, 24981909, -50604940, 93739535, -174614840, 334248255, -644231302

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)^-10, {k, 1, nmax}], {q, 0, nmax}], q]] (* G. C. Greubel, Jul 19 2018 *)

PARI

m=50; q='q+O('q^m); Vec(prod(n=1,m,(1+n*q^n)^-10)) \\ G. C. Greubel, Jul 19 2018