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 A347022 #10 Sep 11 2023 09:02:42
%S A347022 1,1,5,50,720,13650,320370,8967720,291538080,10795026840,448484788680,
%T A347022 20658543923280,1044915105622800,57572197848878400,
%U A347022 3432143603792520000,220109018869587398400,15110184224165199667200,1105545474191480800492800,85881534014930659599571200
%N A347022 Expansion of e.g.f. 1 / (1 - 5 * log(1 + x))^(1/5).
%F A347022 a(n) = Sum_{k=0..n} Stirling1(n,k) * A008548(k).
%F A347022 a(n) ~ n! * exp(1/25) / (Gamma(1/5) * 5^(1/5) * n^(4/5) * (exp(1/5) - 1)^(n + 1/5)). - _Vaclav Kotesovec_, Aug 14 2021
%F A347022 a(0) = 1; a(n) = Sum_{k=1..n} (-1)^(k-1) * (5 - 4*k/n) * (k-1)! * binomial(n,k) * a(n-k). - _Seiichi Manyama_, Sep 11 2023
%t A347022 nmax = 18; CoefficientList[Series[1/(1 - 5 Log[1 + x])^(1/5), {x, 0, nmax}], x] Range[0, nmax]!
%t A347022 Table[Sum[StirlingS1[n, k] 5^k Pochhammer[1/5, k], {k, 0, n}], {n, 0, 18}]
%Y A347022 Cf. A006252, A008548, A320343, A346984, A346987, A347020, A347021, A347023.
%K A347022 nonn
%O A347022 0,3
%A A347022 _Ilya Gutkovskiy_, Aug 11 2021