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A022687 Expansion of Product_{m>=1} (1-m*q^m)^27. 2

%I #10 Sep 08 2022 08:44:46

%S 1,-27,297,-1548,2079,18036,-88893,42471,632259,-1042392,-2491695,

%T 3171771,19897479,-6178491,-149788494,40753548,598051971,397032246,

%U -1758684468,-5331986973,4009289778,22014953235

%N Expansion of Product_{m>=1} (1-m*q^m)^27.

%H G. C. Greubel, <a href="/A022687/b022687.txt">Table of n, a(n) for n = 0..1000</a>

%t With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^27, {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)^27)) \\ _G. C. Greubel_, Jul 19 2018

%o (Magma) Coefficients(&*[(1-m*x^m)^27: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 April 24 08:43 EDT 2024. Contains 371927 sequences. (Running on oeis4.)