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A022657 Expansion of Product_{m>=1} (1+m*q^m)^29. 2

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

%S 1,29,464,5423,51562,421660,3067243,20294258,124073136,709124530,

%T 3822833563,19575902886,95762136734,449596203788,2033731127704,

%U 8892638053645,37692168204784,155240829585546

%N Expansion of Product_{m>=1} (1+m*q^m)^29.

%H G. C. Greubel, <a href="/A022657/b022657.txt">Table of n, a(n) for n = 0..1000</a>

%t With[{nmax=50}, CoefficientList[Series[Product[(1+m*q^m)^29,{m,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)^29)) \\ _G. C. Greubel_, Jul 18 2018

%o (Magma) Coefficients(&*[(1+m*x^m)^29:m in [1..40]])[1..50] where x is PolynomialRing(Integers()).1; // _G. C. Greubel_, Jul 18 2018

%K nonn

%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.)