A022722 Expansion of Product_{m>=1} (1+m*q^m)^(-30).

1, -30, 405, -3250, 17460, -69456, 237485, -817830, 2827605, -8867120, 25403229, -73380060, 215448665, -595626330, 1559581965, -4136899912, 11020769280, -28085275230, 69659708200, -174426721890, 433560026502

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

Mathematica

With[{nmax = 50}, CoefficientList[Series[Product[(1 + k*q^k)^-30, {k, 1, nmax}], {q, 0, nmax}], q]] (* G. C. Greubel, Jul 20 2018 *)

Prog

(PARI) m=50; q='q+O('q^m); Vec(prod(n=1, m, (1+n*q^n)^-30)) \\ G. C. Greubel, Jul 20 2018

Crossrefs

Sequence in context: A125442 A260913 A010835 * A278016 A282125 A296917

Adjacent sequences: A022719 A022720 A022721 * A022723 A022724 A022725

Keyword

sign

Author

N. J. A. Sloane

Status

approved