A022692 Expansion of Product_{m>=1} (1-m*q^m)^32.

1, -32, 432, -3008, 9144, 15040, -217216, 535104, 868252, -6262496, 3084192, 30773568, -9780096, -186954304, -120143680, 1509279360, 594179718, -7348077952, -5674293872, 21981855936, 64543508768

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)^32: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)^32, {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)^32)) \\ G. C. Greubel, Jul 19 2018