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A022697 Expansion of Product_{m>=1} 1/(1 + m*q^m)^5. 2
1, -5, 5, 0, 35, -76, 35, -155, 455, -720, 1369, -1935, 4415, -10405, 12990, -22512, 54405, -92480, 143150, -253015, 488512, -859795, 1377670, -2332365, 4276230, -7666511, 12092880, -19796225, 36845455, -62053775 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

FORMULA

G.f.: exp(-5*Sum_{j>=1} Sum_{k>=1} (-1)^(j+1)*k^j*x^(j*k)/j). - Ilya Gutkovskiy, Feb 08 2018

MATHEMATICA

With[{nmax = 50}, CoefficientList[Series[Product[(1 + k*q^k)^-5, {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)^-5)) \\ G. C. Greubel, Jul 19 2018

CROSSREFS

Column k=5 of A297325.

Sequence in context: A182787 A133337 A279932 * A286838 A347684 A172457

Adjacent sequences:  A022694 A022695 A022696 * A022698 A022699 A022700

KEYWORD

sign

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified October 4 16:41 EDT 2022. Contains 357239 sequences. (Running on oeis4.)