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Expansion of Product_{m>=1} (1+m*q^m)^-25.
2

%I #9 Jul 20 2018 03:47:27

%S 1,-25,275,-1750,7300,-23255,73150,-252625,796275,-2137925,5733355,

%T -16646550,45304475,-111461125,280683700,-735052700,1815283450,

%U -4275549750,10301217900,-24923579950,58128778485,-133132664600

%N Expansion of Product_{m>=1} (1+m*q^m)^-25.

%H G. C. Greubel, <a href="/A022717/b022717.txt">Table of n, a(n) for n = 0..1000</a>

%t With[{nmax = 50}, CoefficientList[Series[Product[(1 + k*q^k)^-25, {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)^-25)) \\ _G. C. Greubel_, Jul 20 2018

%K sign

%O 0,2

%A _N. J. A. Sloane_