A022683 Expansion of Product_{m>=1} (1-m*q^m)^23.

1, -23, 207, -782, -276, 12259, -29578, -42711, 229057, 93863, -828023, -2014110, 4727719, 15059963, -22586736, -58481962, -8654877, 246061935, 463250567, -671892192, -1993509889, -2171787581, 5545061605, 20642183588

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)^23: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)^23, {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)^23)) \\ G. C. Greubel, Jul 19 2018