|
%I #14 Apr 05 2017 09:49:33
%S 1,-10,45,-130,310,-712,1555,-3130,5990,-11190,20316,-35750,61405,
%T -103570,171730,-279782,448785,-710830,1112515,-1720550,2632389,
%U -3989480,5992085,-8921670,13176300,-19316144,28118360,-40654520
%N Expansion of Product_{m>=1} (1+q^m)^(-10).
%H Seiichi Manyama, <a href="/A022605/b022605.txt">Table of n, a(n) for n = 0..1000</a>
%F a(n) ~ (-1)^n * 5^(1/4) * exp(Pi*sqrt(5*n/3)) / (2^(3/2) * 3^(1/4) * n^(3/4)). - _Vaclav Kotesovec_, Aug 27 2015
%F a(0) = 1, a(n) = -(10/n)*Sum_{k=1..n} A000593(k)*a(n-k) for n > 0. - _Seiichi Manyama_, Apr 05 2017
%t nmax = 50; CoefficientList[Series[Product[1/(1 + x^k)^10, {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Aug 27 2015 *)
%K sign
%O 0,2
%A _N. J. A. Sloane_
|
