A022716 Expansion of Product_{m>=1} (1+m*q^m)^-24.

1, -24, 252, -1520, 5982, -18240, 57320, -198192, 604389, -1567840, 4210116, -12229632, 32349958, -77844000, 196563240, -510760752, 1233110610, -2871650184, 6899741020, -16499031456, 37934952672, -86122235648

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 30 2017

Links

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

Crossrefs

Column k=24 of A297325.

Programs

Mathematica

With[{nmax = 50}, CoefficientList[Series[Product[(1 + k*q^k)^-24, {k, 1, nmax}], {q, 0, nmax}], q]] (* G. C. Greubel, Jul 20 2018 *)

PARI

m=50; q='q+O('q^m); Vec(prod(n=1,m,(1+n*q^n)^-24)) \\ G. C. Greubel, Jul 20 2018