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A022655 Expansion of Product_{m>=1} (1+m*q^m)^27. 2

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

%S 1,27,405,4464,40203,312444,2165643,13683141,80031483,438289140,

%T 2267128413,11153032425,52470693387,237149414523,1033605535770,

%U 4358187468612,17826413289399,70901458583850,274772457017208

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

%H G. C. Greubel, <a href="/A022655/b022655.txt">Table of n, a(n) for n = 0..1000</a>

%t With[{nmax=50}, CoefficientList[Series[Product[(1+m*q^m)^27,{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)^27)) \\ _G. C. Greubel_, Jul 18 2018

%o (Magma) Coefficients(&*[(1+m*x^m)^27: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 July 14 05:06 EDT 2024. Contains 374291 sequences. (Running on oeis4.)