A022717 Expansion of Product_{m>=1} (1+m*q^m)^-25.

1, -25, 275, -1750, 7300, -23255, 73150, -252625, 796275, -2137925, 5733355, -16646550, 45304475, -111461125, 280683700, -735052700, 1815283450, -4275549750, 10301217900, -24923579950, 58128778485, -133132664600

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)^-25, {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)^-25)) \\ G. C. Greubel, Jul 20 2018

Crossrefs

Sequence in context: A329537 A012859 A010830 * A197279 A061617 A078463

Adjacent sequences: A022714 A022715 A022716 * A022718 A022719 A022720

Keyword

sign

Author

N. J. A. Sloane

Status

approved