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 A371273 #9 Mar 17 2024 04:07:38 %S A371273 1,0,2,3,172,1025,54606,710017,38964024,855167553,49992166090, %T A371273 1603665906161,101454726848388,4342187407054081,299554876119595110, %U A371273 16084216120063348545,1213404824364026124016,78279943651487041769345,6456915976418046368634402 %N A371273 E.g.f. satisfies A(x) = 1 + x*A(x)^4 * (exp(x*A(x)^3) - 1). %F A371273 a(n) = (n!/(3*n+1)!) * Sum_{k=0..floor(n/2)} (3*n+k)! * Stirling2(n-k,k)/(n-k)!. %o A371273 (PARI) a(n) = n!*sum(k=0, n\2, (3*n+k)!*stirling(n-k, k, 2)/(n-k)!)/(3*n+1)!; %Y A371273 Cf. A370988, A371271. %Y A371273 Cf. A371232. %K A371273 nonn %O A371273 0,3 %A A371273 _Seiichi Manyama_, Mar 16 2024