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A022621 Expansion of Product_{m>=1} (1+q^m)^(-26). 2

%I #12 Feb 15 2018 08:12:20

%S 1,-26,325,-2626,15626,-74256,298831,-1063426,3447132,-10372882,

%T 29340142,-78744042,202029633,-498419898,1187802148,-2744629914,

%U 6168519890,-13520237380,28964225680,-60763817556,125042511217,-252773944748,502601225828,-984061449124,1899179853506

%N Expansion of Product_{m>=1} (1+q^m)^(-26).

%H G. C. Greubel, <a href="/A022621/b022621.txt">Table of n, a(n) for n = 0..1000</a>

%F a(n) ~ (-1)^n * 13^(1/4) * exp(Pi*sqrt(13*n/3)) / (2^(3/2) * 3^(1/4) * n^(3/4)). - _Vaclav Kotesovec_, Aug 27 2015

%t nmax = 50; CoefficientList[Series[Product[1/(1 + x^k)^26, {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Aug 27 2015 *)

%K sign

%O 0,2

%A _N. J. A. Sloane_

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Last modified April 18 08:08 EDT 2024. Contains 371769 sequences. (Running on oeis4.)