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A022737 Expansion of Product_{m>=1} (1-m*q^m)^-13. 2

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

%S 1,13,117,832,5109,28054,141401,664287,2943460,12404535,50050910,

%T 194348193,729316796,2654041235,9393084103,32409549367,109246771179,

%U 360409934599,1165521592456,3699803142334

%N Expansion of Product_{m>=1} (1-m*q^m)^-13.

%H G. C. Greubel, <a href="/A022737/b022737.txt">Table of n, a(n) for n = 0..1000</a>

%t With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^-13, {k, 1, nmax}], {q, 0, nmax}], q]] (* _G. C. Greubel_, Jul 25 2018 *)

%o (PARI) m=50; q='q+O('q^m); Vec(prod(n=1,m,(1-n*q^n)^-13)) \\ _G. C. Greubel_, Jul 25 2018

%o (Magma) n:=50; R<x>:=PowerSeriesRing(Integers(), n); Coefficients(R!(&*[(1/(1-m*x^m))^13:m in [1..n]])); // _G. C. Greubel_, Jul 25 2018

%K nonn

%O 0,2

%A _N. J. A. Sloane_

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Last modified April 23 05:37 EDT 2024. Contains 371906 sequences. (Running on oeis4.)