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A022675 Expansion of Product_{m >= 1} (1-m*q^m)^15. 2

%I #9 Sep 08 2022 08:44:46

%S 1,-15,75,-50,-750,1797,2220,-6975,-13980,6220,125682,-8910,-387885,

%T -365160,62130,3177433,2777445,-3799695,-17320915,-28897950,39859074,

%U 105240645,131649465,-50100225,-602800010,-882445182

%N Expansion of Product_{m >= 1} (1-m*q^m)^15.

%H G. C. Greubel, <a href="/A022675/b022675.txt">Table of n, a(n) for n = 0..1000</a>

%t With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^15, {k, 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)^15)) \\ _G. C. Greubel_, Jul 18 2018

%o (Magma) Coefficients(&*[(1-m*x^m)^15:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // _G. C. Greubel_, Jul 18 2018

%K sign

%O 0,2

%A _N. J. A. Sloane_

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Last modified April 24 00:30 EDT 2024. Contains 371917 sequences. (Running on oeis4.)