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 A320250 #6 Oct 08 2018 12:42:30 %S A320250 1,1,0,2,1,1,3,1,3,4,5,4,5,6,6,12,9,11,15,16,15,22,22,22,35,33,37,42, %T A320250 48,48,66,68,69,90,89,104,122,127,135,165,175,189,218,234,250,302,315, %U A320250 332,393,413,453,519,549,587,677,715,778,872,936,1000,1142,1204 %N A320250 Expansion of Product_{k>=1} (1 + x^k)^(A048272(k)). %H A320250 Vaclav Kotesovec, <a href="/A320250/b320250.txt">Table of n, a(n) for n = 0..1000</a> %F A320250 a(n) ~ (log(2))^(1/4) * exp(Pi*sqrt(log(2)*n/3)) / (2^(7/4) * 3^(1/4) * n^(3/4)). %t A320250 nmax = 100; A048272 = Table[Sum[-(-1)^d, {d, Divisors[n]}], {n, 1, nmax}]; CoefficientList[Series[Product[(1+x^k)^(A048272[[k]]), {k, 1, nmax}], {x, 0, nmax}], x] %Y A320250 Cf. A048272, A158441, A295794. %K A320250 nonn %O A320250 0,4 %A A320250 _Vaclav Kotesovec_, Oct 08 2018