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%I #9 Sep 08 2022 08:44:46
%S 1,25,350,3625,30825,227005,1495225,8998625,50231225,262982425,
%T 1302361670,6141852925,27731605150,120415590250,504692324800,
%U 2048151994275,8069513499800,30937269482500,115647629802975
%N Expansion of Product_{m>=1} (1+m*q^m)^25.
%H G. C. Greubel, <a href="/A022653/b022653.txt">Table of n, a(n) for n = 0..1000</a>
%t With[{nmax=50}, CoefficientList[Series[Product[(1+m*q^m)^25,{m,1,nmax}],{q,0,nmax}],q]] (* _G. C. Greubel_, Jul 18 2018 *)
%o (PARI) m=50; q='q+O('q^m); Vec(prod(n=1,m,(1+n*q^n)^25)) \\ _G. C. Greubel_, Jul 18 2018
%o (Magma) Coefficients(&*[(1+m*x^m)^25:m in [1..40]])[1..50] where x is PolynomialRing(Integers()).1; // _G. C. Greubel_, Jul 18 2018
%K nonn
%O 0,2
%A _N. J. A. Sloane_