A022675 Expansion of Product_{m >= 1} (1-m*q^m)^15.

1, -15, 75, -50, -750, 1797, 2220, -6975, -13980, 6220, 125682, -8910, -387885, -365160, 62130, 3177433, 2777445, -3799695, -17320915, -28897950, 39859074, 105240645, 131649465, -50100225, -602800010, -882445182

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)^15:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Jul 18 2018

Mathematica

With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^15, {k, 1, nmax}], {q, 0, nmax}], q]] (* G. C. Greubel, Jul 18 2018 *)

PARI

m=50; q='q+O('q^m); Vec(prod(n=1,m,(1-n*q^n)^15)) \\ G. C. Greubel, Jul 18 2018