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A022684 Expansion of Product_{m>=1} (1-m*q^m)^24. 2

%I #17 Sep 08 2022 08:44:46

%S 1,-24,228,-944,114,13920,-40824,-35568,314943,-32016,-1256028,

%T -1702560,7990622,15859872,-44241384,-69900560,66340899,389812176,

%U 368445848,-1602538800,-2603154606,114976000,12365751792

%N Expansion of Product_{m>=1} (1-m*q^m)^24.

%C This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = -24, g(n) = n. - _Seiichi Manyama_, Dec 29 2017

%H Seiichi Manyama, <a href="/A022684/b022684.txt">Table of n, a(n) for n = 0..1000</a>

%t With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^24, {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)^24)) \\ _G. C. Greubel_, Jul 19 2018

%o (Magma) Coefficients(&*[(1-m*x^m)^24:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // _G. C. Greubel_, Jul 19 2018

%Y Column k=24 of A297323.

%K sign

%O 0,2

%A _N. J. A. Sloane_

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Last modified April 25 05:56 EDT 2024. Contains 371964 sequences. (Running on oeis4.)