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A022680 Expansion of Product_{m>=1} (1-m*q^m)^20. 2

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

%S 1,-20,150,-400,-875,7396,-7770,-36600,56510,154660,-872,-1314200,

%T -455605,6284960,3781830,-9954864,-43558410,-16664680,165132890,

%U 229738040,57372644,-1326447180,-2095012310,1723402120,7805180205

%N Expansion of Product_{m>=1} (1-m*q^m)^20.

%H G. C. Greubel, <a href="/A022680/b022680.txt">Table of n, a(n) for n = 0..1000</a>

%t With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^20, {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)^20)) \\ _G. C. Greubel_, Jul 18 2018

%o (Magma) Coefficients(&*[(1-m*x^m)^20: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 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)