A022684 Expansion of Product_{m>=1} (1-m*q^m)^24.

1, -24, 228, -944, 114, 13920, -40824, -35568, 314943, -32016, -1256028, -1702560, 7990622, 15859872, -44241384, -69900560, 66340899, 389812176, 368445848, -1602538800, -2603154606, 114976000, 12365751792

Offset

0,2

Comments

This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = -24, g(n) = n. - Seiichi Manyama, Dec 29 2017

Links

Seiichi Manyama, Table of n, a(n) for n = 0..1000

Mathematica

With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^24, {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)^24)) \\ G. C. Greubel, Jul 19 2018
(Magma) Coefficients(&*[(1-m*x^m)^24:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Jul 19 2018

Crossrefs

Column k=24 of A297323.

Sequence in context: A181710 A201192 A345648 * A297752 A027275 A027260

Adjacent sequences: A022681 A022682 A022683 * A022685 A022686 A022687

Keyword

sign

Author

N. J. A. Sloane

Status

approved