This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A385012 #5 Jun 15 2025 09:33:48
%S A385012 1,1,2,4,6,9,15,21,31,45,63,87,123,165,224,302,401,528,698,906,1177,
%T A385012 1520,1950,2488,3173,4010,5061,6363,7965,9932,12366,15317,18937,23342,
%U A385012 28686,35153,43002,52425,63797,77454,93819,113386,136807,164663,197863,237302,284080
%N A385012 G.f.: 1/Product_{k>=1} (1 - x^(3*k^2)) * (1 - x^k).
%F A385012 a(n) ~ exp(Pi*sqrt(2*n/3) + zeta(3/2)*n^(1/4)/(2^(3/4)*3^(1/4)) - zeta(3/2)^2/(32*Pi)) / (2^(13/4) * 3^(1/4) * sqrt(Pi) * n^(5/4)).
%t A385012 nmax = 60; CoefficientList[Series[1/Product[(1-x^(3*k^2))*(1-x^k), {k, 1, nmax}], {x, 0, nmax}], x]
%Y A385012 Cf. A000041, A001156, A385011.
%K A385012 nonn
%O A385012 0,3
%A A385012 _Vaclav Kotesovec_, Jun 15 2025