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

0,2

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

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 *)

Prog

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

Crossrefs

Column k=24 of A297325.

Sequence in context: A370110 A000594 A278577 * A181104 A051828 A076847

Adjacent sequences: A022713 A022714 A022715 * A022717 A022718 A022719

Keyword

sign

Author

N. J. A. Sloane

Status

approved