Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #13 Apr 05 2017 09:50:46
%S 1,-17,136,-697,2669,-8517,24361,-64549,160140,-375564,842078,
%T -1818932,3800537,-7709449,15239497,-29440226,55697542,-103382254,
%U 188589925,-338602243,599066162,-1045509435,1801660255,-3068201310
%N Expansion of Product_{m>=1} (1+q^m)^(-17).
%H Seiichi Manyama, <a href="/A022612/b022612.txt">Table of n, a(n) for n = 0..10000</a>
%F a(n) ~ (-1)^n * 17^(1/4) * exp(Pi*sqrt(17*n/6)) / (2^(7/4) * 3^(1/4) * n^(3/4)). - _Vaclav Kotesovec_, Aug 27 2015
%F a(0) = 1, a(n) = -(17/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)^17, {k, 1, nmax}], {x, 0, nmax}], x] (* _Vaclav Kotesovec_, Aug 27 2015 *)
%K sign
%O 0,2
%A _N. J. A. Sloane_