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Expansion of Product_{m>=1} (1+m*q^m)^-19.
2

%I #9 Jul 20 2018 06:04:13

%S 1,-19,152,-665,1862,-4864,16891,-53770,126654,-297768,874703,

%T -2302800,5022650,-11816556,30449894,-70624311,153691133,-351589585,

%U 812477658,-1798826901,3880086254,-8420178035,18486176635

%N Expansion of Product_{m>=1} (1+m*q^m)^-19.

%H G. C. Greubel, <a href="/A022711/b022711.txt">Table of n, a(n) for n = 0..1000</a>

%t With[{nmax = 50}, CoefficientList[Series[Product[(1 + k*q^k)^-19, {k, 1, nmax}], {q, 0, nmax}], q]] (* _G. C. Greubel_, Jul 20 2018 *)

%o (PARI) m=50; q='q+O('q^m); Vec(prod(n=1,m,(1+n*q^n)^-19)) \\ _G. C. Greubel_, Jul 20 2018

%K sign

%O 0,2

%A _N. J. A. Sloane_