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 A022685 Expansion of Product_{m>=1} (1-m*q^m)^25. 2

%I

%S 1,-25,250,-1125,625,15495,-54375,-20625,413325,-246425,-1719150,

%T -854425,11885650,13624250,-73600100,-65950175,191784500,512802500,

%U 23353075,-2854336325,-2372290275,4919896900,19737007600

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

%H G. C. Greubel, <a href="/A022685/b022685.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 19 2018 *)

%o (PARI) m=50; q='q+O('q^m); Vec(prod(n=1,m,(1-n*q^n)^25)) \\ _G. C. Greubel_, Jul 19 2018

%o (MAGMA) Coefficients(&*[(1-m*x^m)^25:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // _G. C. Greubel_, Jul 19 2018

%K sign

%O 0,2

%A _N. J. A. Sloane_

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Last modified August 15 17:39 EDT 2022. Contains 356148 sequences. (Running on oeis4.)