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A022625 Expansion of Product_{m>=1} (1+q^m)^(-30). 2

%I #12 Feb 15 2018 08:12:45

%S 1,-30,435,-4090,28305,-155586,716910,-2884080,10440930,-34752790,

%T 107952705,-316326840,881621260,-2352438330,6041102175,-14993771926,

%U 36092874960,-84513784620,192981056950,-430636738770,940848408276

%N Expansion of Product_{m>=1} (1+q^m)^(-30).

%H G. C. Greubel, <a href="/A022625/b022625.txt">Table of n, a(n) for n = 0..1000</a>

%F a(n) ~ (-1)^n * 5^(1/4) * exp(Pi*sqrt(5*n)) / (2^(3/2) * n^(3/4)). - _Vaclav Kotesovec_, Aug 27 2015

%t nmax = 50; CoefficientList[Series[Product[1/(1 + x^k)^30, {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 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)