%I #13 Apr 05 2017 11:29:38
%S 1,-22,231,-1562,7799,-31438,109208,-341660,987327,-2672868,6848490,
%T -16752958,39388481,-89439944,196910681,-421739450,881199561,
%U -1800336692,3603535166,-7078509064,13665905671
%N Expansion of Product_{m>=1} (1+q^m)^(-22).
%H Seiichi Manyama, <a href="/A022617/b022617.txt">Table of n, a(n) for n = 0..10000</a>
%F a(n) ~ (-1)^n * 11^(1/4) * exp(Pi*sqrt(11*n/3)) / (2^(3/2) * 3^(1/4) * n^(3/4)). - _Vaclav Kotesovec_, Aug 27 2015
%F a(0) = 1, a(n) = -(22/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)^22, {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Aug 27 2015 *)
%K sign
%O 0,2
%A _N. J. A. Sloane_
|