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%I #15 Apr 05 2017 09:50:34
%S 1,-16,120,-576,2076,-6304,17344,-44416,106630,-242480,528608,
%T -1112128,2265656,-4486112,8666112,-16376192,30328593,-55145872,
%U 98613424,-173670400,301550788,-516747872,874774016,-1464096000
%N Expansion of Product_{m>=1} (1+q^m)^(-16).
%H Seiichi Manyama, <a href="/A022611/b022611.txt">Table of n, a(n) for n = 0..1000</a>
%F a(n) ~ (-1)^n * exp(Pi*2 * sqrt(2*n/3)) / (2^(3/4) * 3^(1/4) * n^(3/4)). - _Vaclav Kotesovec_, Aug 27 2015
%F a(0) = 1, a(n) = -(16/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)^16, {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Aug 27 2015 *)
%K sign,easy
%O 0,2
%A _N. J. A. Sloane_
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