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 A322470 #17 Feb 16 2025 08:33:57
%S A322470 1,-1,3,-8,4,236,-3892,54552,-739440,9704088,-116868648,1033709040,
%T A322470 4025264736,-592337009328,23033374965456,-708140910086400,
%U A322470 19418661884145024,-485092601562305664,10704418782304457088,-180835985547961196544,431827528992523301376,162896031123325288266240
%N A322470 Expansion of e.g.f. 1/(1 + log(1 + x)/(1 + log(1 + x)^2/(1 + log(1 + x)^3/(1 + ...)))), a continued fraction.
%H A322470 Vaclav Kotesovec, <a href="/A322470/b322470.txt">Table of n, a(n) for n = 0..416</a>
%H A322470 Vaclav Kotesovec, <a href="/A322470/a322470.jpg">Plot of (abs(a(n))/n!)^(1/n) for n = 1..1000</a>
%H A322470 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/Rogers-RamanujanContinuedFraction.html">Rogers-Ramanujan Continued Fraction</a>
%F A322470 a(n) = Sum_{k=0..n} Stirling1(n,k)*A007325(k)*k!.
%t A322470 nmax = 21; CoefficientList[Series[1/(1 + ContinuedFractionK[Log[1 + x]^k, 1, {k, 1, nmax}]), {x, 0, nmax}], x] Range[0, nmax]!
%Y A322470 Cf. A007325, A048594, A301923, A322342.
%K A322470 sign
%O A322470 0,3
%A A322470 _Ilya Gutkovskiy_, Dec 19 2018