A022690 Expansion of Product_{m>=1} (1-m*q^m)^30.

1, -30, 375, -2350, 5625, 18594, -159470, 264000, 897090, -3531910, -1435527, 16983900, 18552080, -93541590, -225801585, 676209374, 1172571840, -2433574980, -6300652790, 673571550, 37882244124

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)^30, {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)^30)) \\ G. C. Greubel, Jul 19 2018
(Magma) Coefficients(&*[(1-m*x^m)^30:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Jul 19 2018

Crossrefs

Sequence in context: A042748 A202074 A251895 * A224332 A280478 A020927

Adjacent sequences: A022687 A022688 A022689 * A022691 A022692 A022693

Keyword

sign

Author

N. J. A. Sloane

Status

approved