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 A365601 #11 Sep 13 2023 02:12:51
%S A365601 1,2,12,130,1990,39500,962540,27807120,928991280,35233882320,
%T A365601 1495508048160,70233555485520,3615667144284720,202470393271792800,
%U A365601 12252576455326384800,796817209624497196800,55418456683474326892800,4104671046431448576787200
%N A365601 Expansion of e.g.f. 1 / (1 - 5 * log(1 + x))^(2/5).
%F A365601 a(n) = Sum_{k=0..n} (Product_{j=0..k-1} (5*j+2)) * Stirling1(n,k).
%F A365601 a(0) = 1; a(n) = Sum_{k=1..n} (-1)^(k-1) * (5 - 3*k/n) * (k-1)! * binomial(n,k) * a(n-k).
%t A365601 a[n_] := Sum[Product[5*j + 2, {j, 0, k - 1}] * StirlingS1[n, k], {k, 0, n}]; Array[a, 18, 0] (* _Amiram Eldar_, Sep 13 2023 *)
%o A365601 (PARI) a(n) = sum(k=0, n, prod(j=0, k-1, 5*j+2)*stirling(n, k, 1));
%Y A365601 Cf. A347022, A365602, A365603, A365604.
%Y A365601 Cf. A365585.
%K A365601 nonn
%O A365601 0,2
%A A365601 _Seiichi Manyama_, Sep 11 2023