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A022677 Expansion of Product_{m>=1} (1-m*q^m)^17. 2

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

%S 1,-17,102,-153,-901,3553,833,-17255,-7242,55726,179554,-312834,

%T -871675,519911,2354755,5311378,-5680414,-24956018,-20075691,28080107,

%U 211837476,126533397,-349645681,-974028090,-1206400835

%N Expansion of Product_{m>=1} (1-m*q^m)^17.

%H G. C. Greubel, <a href="/A022677/b022677.txt">Table of n, a(n) for n = 0..1000</a>

%t With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^17, {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)^17)) \\ _G. C. Greubel_, Jul 18 2018

%o (Magma) Coefficients(&*[(1-m*x^m)^17: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 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)