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 A357086 #11 Sep 11 2022 10:06:51 %S A357086 1,0,2,6,50,510,5882,88326,1502258,29368590,650366762,15974149686, %T A357086 433095937826,12829712583870,412295632858202,14292175302568806, %U A357086 531485147656990994,21107739762958541550,891673745283286886282,39923664347178352362006 %N A357086 E.g.f. satisfies A(x) * log(A(x)) = (exp(x*A(x)) - 1)^2. %F A357086 a(n) = Sum_{k=0..floor(n/2)} (2*k)! * (n-k+1)^(k-1) * Stirling2(n,2*k)/k!. %o A357086 (PARI) a(n) = sum(k=0, n\2, (2*k)!*(n-k+1)^(k-1)*stirling(n, 2*k, 2)/k!); %Y A357086 Cf. A349588, A357087. %Y A357086 Cf. A357084, A357088. %K A357086 nonn %O A357086 0,3 %A A357086 _Seiichi Manyama_, Sep 11 2022