|
%I #18 Sep 08 2022 08:44:46
%S 1,29,435,4524,36801,249980,1476535,7792619,37464346,166445529,
%T 690898842,2702690003,10033022642,35545708813,120756549637,
%U 394935306099,1247670362782,3818503661392,11350088407317,32837741707782,92652254354675,255382893501050,688721602753864
%N Expansion of Product_{m>=1} (1+q^m)^29.
%H G. C. Greubel, <a href="/A022593/b022593.txt">Table of n, a(n) for n = 0..1000</a>
%F a(n) ~ (29/3)^(1/4) * exp(Pi * sqrt(29*n/3)) / (65536 * n^(3/4)). - _Vaclav Kotesovec_, Mar 05 2015
%t nmax=50; CoefficientList[Series[Product[(1+q^m)^29,{m,1,nmax}],{q,0,nmax}],q] (* _Vaclav Kotesovec_, Mar 05 2015 *)
%o (PARI) m=50; q='q+O('q^m); Vec(prod(n=1,m,(1+q^n)^29)) \\ _G. C. Greubel_, Feb 19 2018
%o (PARI) q='q+O('q^99); Vec((eta(q^2)/eta(q))^29) \\ _Altug Alkan_, May 03 2018
%o (Magma) Coefficients(&*[(1+x^m)^29:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // _G. C. Greubel_, Feb 19 2018
%Y Column k=29 of A286335.
%K nonn
%O 0,2
%A _N. J. A. Sloane_
|
