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

Author

N. J. A. Sloane

Keywords

• sign

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

Crossrefs

Column k=24 of A297323.

Programs

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

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 *)

PARI

m=50; q='q+O('q^m); Vec(prod(n=1,m,(1-n*q^n)^24)) \\ G. C. Greubel, Jul 19 2018