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

0,2

Links

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

Mathematica

With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^23, {k, 1, nmax}], {q, 0, nmax}], q]] (* G. C. Greubel, Jul 19 2018 *)

Prog

(PARI) m=50; q='q+O('q^m); Vec(prod(n=1, m, (1-n*q^n)^23)) \\ G. C. Greubel, Jul 19 2018
(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

Crossrefs

Sequence in context: A221670 A128334 A107956 * A042020 A263521 A084428

Adjacent sequences: A022680 A022681 A022682 * A022684 A022685 A022686

Keyword

sign

Author

N. J. A. Sloane

Status

approved