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%I #12 Jul 20 2018 06:03:19
%S 1,-9,27,-30,72,-387,738,-801,2889,-8119,13005,-25038,57735,-122643,
%T 247788,-432786,862497,-1944657,3520721,-6191280,12743919,-24916977,
%U 45349101,-83116206,156731304,-299550636,547421607
%N Expansion of Product_{m>=1} 1/(1 + m*q^m)^9.
%H G. C. Greubel, <a href="/A022701/b022701.txt">Table of n, a(n) for n = 0..1000</a>
%F G.f.: exp(-9*Sum_{j>=1} Sum_{k>=1} (-1)^(j+1)*k^j*x^(j*k)/j). - _Ilya Gutkovskiy_, Feb 08 2018
%t With[{nmax = 50}, CoefficientList[Series[Product[(1 + k*q^k)^-9, {k, 1, nmax}], {q, 0, nmax}], q]] (* _G. C. Greubel_, Jul 19 2018 *)
%o (PARI) m=50; q='q+O('q^m); Vec(prod(n=1,m,(1+n*q^n)^-9)) \\ _G. C. Greubel_, Jul 19 2018
%Y Column k=9 of A297325.
%K sign
%O 0,2
%A _N. J. A. Sloane_
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