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 A356789 #11 Aug 28 2022 04:24:29 %S A356789 1,0,2,3,112,605,22596,254527,10166416,188035353,8190917380, %T A356789 217293592571,10408915205976,363500829796117,19203682103461324, %U A356789 833182131498018135,48525371633295259936,2511705297938365594289,160874324235464440678164 %N A356789 E.g.f. satisfies log(A(x)) = x * (exp(x*A(x)) - 1) * A(x)^3. %F A356789 a(n) = n! * Sum_{k=0..floor(n/2)} (n+2*k+1)^(k-1) * Stirling2(n-k,k)/(n-k)!. %o A356789 (PARI) a(n) = n!*sum(k=0, n\2, (n+2*k+1)^(k-1)*stirling(n-k, k, 2)/(n-k)!); %Y A356789 Cf. A349560, A356785, A356788. %K A356789 nonn %O A356789 0,3 %A A356789 _Seiichi Manyama_, Aug 27 2022