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 A357085 #9 Sep 11 2022 10:06:42 %S A357085 1,0,0,6,36,150,3780,77406,1059156,21669990,640319940,16622025486, %T A357085 450085011156,15416323450710,561938117029380,20587443165165246, %U A357085 835816881563118036,37282225483118856390,1722621978491064495300,83817942806509377794286 %N A357085 E.g.f. satisfies log(A(x)) = (exp(x*A(x)) - 1)^3 * A(x). %F A357085 a(n) = Sum_{k=0..floor(n/3)} (3*k)! * (n+k+1)^(k-1) * Stirling2(n,3*k)/k!. %o A357085 (PARI) a(n) = sum(k=0, n\3, (3*k)!*(n+k+1)^(k-1)*stirling(n, 3*k, 2)/k!); %Y A357085 Cf. A349557, A357084. %Y A357085 Cf. A357025. %K A357085 nonn %O A357085 0,4 %A A357085 _Seiichi Manyama_, Sep 11 2022