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A022656 Expansion of Product_{m>=1} (1+m*q^m)^28. 2

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

%S 1,28,434,4928,45619,363804,2584078,16712728,99967861,559436136,

%T 2954968758,14835042600,71185664242,327991293140,1456679962528,

%U 6256129706904,26054952884072,105476694483636,415919297844582

%N Expansion of Product_{m>=1} (1+m*q^m)^28.

%H G. C. Greubel, <a href="/A022656/b022656.txt">Table of n, a(n) for n = 0..1000</a>

%t With[{nmax=50}, CoefficientList[Series[Product[(1+m*q^m)^28,{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)^28)) \\ _G. C. Greubel_, Jul 18 2018

%o (Magma) Coefficients(&*[(1+m*x^m)^28: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 August 12 04:50 EDT 2024. Contains 375085 sequences. (Running on oeis4.)