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A022690 Expansion of Product_{m>=1} (1-m*q^m)^30. 2

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

%S 1,-30,375,-2350,5625,18594,-159470,264000,897090,-3531910,-1435527,

%T 16983900,18552080,-93541590,-225801585,676209374,1172571840,

%U -2433574980,-6300652790,673571550,37882244124

%N Expansion of Product_{m>=1} (1-m*q^m)^30.

%H G. C. Greubel, <a href="/A022690/b022690.txt">Table of n, a(n) for n = 0..1000</a>

%t With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^30, {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)^30)) \\ _G. C. Greubel_, Jul 19 2018

%o (Magma) Coefficients(&*[(1-m*x^m)^30: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 March 28 14:21 EDT 2024. Contains 371254 sequences. (Running on oeis4.)