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 A377584 #3 Nov 02 2024 05:22:39 %S A377584 1,1,1,5,23,167,907,8647,84625,840401,8917289,122748749,1753750759, %T A377584 26047588855,401961006787,6422475692063,124830139084193, %U A377584 2445151343123873,48495757104590545,1038849234759346069,23966120552360409271,545230613480963786951,13288745250263697838331 %N A377584 E.g.f.: exp(Sum_{k>=1} A326305(k) * x^k/k). %F A377584 a(n) ~ sqrt(3) * exp(3*sqrt(2*n)/Pi - n) * n^(n - 1/4) / (2^(3/4) * sqrt(Pi)). %t A377584 nmax = 25; CoefficientList[Series[Exp[Sum[If[OddQ[k], EulerPhi[k], EulerPhi[k] - EulerPhi[k/2]]*x^k/k, {k, 1, nmax}]], {x, 0, nmax}], x] * Range[0, nmax]! %Y A377584 Cf. A326305. %K A377584 nonn %O A377584 0,4 %A A377584 _Vaclav Kotesovec_, Nov 02 2024