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A022659 Expansion of Product_{m>=1} (1+m*q^m)^31. 2

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

%S 1,31,527,6510,65162,559271,4259276,29444575,187761854,1117650502,

%T 6267006128,33341859350,169281687755,824110662334,3862233690794,

%U 17483338870409,76663232042998,326438219863590

%N Expansion of Product_{m>=1} (1+m*q^m)^31.

%H G. C. Greubel, <a href="/A022659/b022659.txt">Table of n, a(n) for n = 0..1000</a>

%t With[{nmax=50}, CoefficientList[Series[Product[(1+m*q^m)^31,{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)^31)) \\ _G. C. Greubel_, Jul 18 2018

%o (Magma) Coefficients(&*[(1+m*x^m)^31: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 23 20:33 EDT 2024. Contains 371916 sequences. (Running on oeis4.)