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 A377585 #5 Nov 02 2024 05:22:47
%S A377585 1,1,7,61,577,7381,96511,1619857,28368481,560654857,12100090231,
%T A377585 282510616741,7098784113697,190647458125021,5461212525476527,
%U A377585 165494332157561401,5306572876379307841,178898083900878623377,6336492991778941139431,234867483921621706900237,9096385945218131126509441
%N A377585 E.g.f.: exp(Sum_{k>=1} A057660(k) * x^k).
%H A377585 Vaclav Kotesovec, <a href="/A377585/b377585.txt">Table of n, a(n) for n = 0..400</a>
%F A377585 a(n) ~ 3^(1/4) * zeta(3)^(1/8) * exp(sqrt(Pi)*n^(1/4)/(6^(3/2)*zeta(3)^(1/4)) + 2^(5/2)*zeta(3)^(1/4)*n^(3/4)/sqrt(3*Pi) - n) * n^(n - 1/8) / (2^(3/4) * Pi^(1/4)).
%t A377585 nmax = 25; CoefficientList[Series[Exp[Sum[DivisorSigma[2, k^2]/DivisorSigma[1, k^2]*x^k, {k, 1, nmax}]], {x, 0, nmax}], x] * Range[0, nmax]!
%Y A377585 Cf. A057660.
%K A377585 nonn
%O A377585 0,3
%A A377585 _Vaclav Kotesovec_, Nov 02 2024