A022624 Expansion of Product_{m>=1} (1+q^m)^(-29).

1, -29, 406, -3683, 24592, -130558, 582233, -2273136, 8008524, -26002734, 78934897, -226364662, 618201990, -1618116248, 4079918534, -9950307189, 23552872174, -54265164588, 121990316096, -268139308160, 577310455320, -1219428331519, 2530473842822, -5165078293276, 10381346324862

Offset: 0

Author

N. J. A. Sloane

Keywords

• sign

Links

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

Programs

Mathematica

nmax = 50; CoefficientList[Series[Product[1/(1 + x^k)^29, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Aug 27 2015 *)

Formula

a(n) ~ (-1)^n * 29^(1/4) * exp(Pi*sqrt(29*n/6)) / (2^(7/4) * 3^(1/4) * n^(3/4)). - Vaclav Kotesovec, Aug 27 2015