A022685 Expansion of Product_{m>=1} (1-m*q^m)^25.

1, -25, 250, -1125, 625, 15495, -54375, -20625, 413325, -246425, -1719150, -854425, 11885650, 13624250, -73600100, -65950175, 191784500, 512802500, 23353075, -2854336325, -2372290275, 4919896900, 19737007600

Offset: 0

Author

N. J. A. Sloane

Keywords

• sign

Links

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

Programs

Magma

Coefficients(&*[(1-m*x^m)^25:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Jul 19 2018

Mathematica

With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^25, {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)^25)) \\ G. C. Greubel, Jul 19 2018