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 A357091 #10 Sep 11 2022 10:07:46 %S A357091 1,0,0,6,36,210,4590,85344,1353912,30525384,836587440,22585438656, %T A357091 676820305656,23377203675072,857981143380816,33416782099297344, %U A357091 1417453025671696320,64371985604089220160,3086958605328618687360,157142856384519974847360 %N A357091 E.g.f. satisfies A(x) = 1/(1 - x * A(x))^(log(1 - x * A(x))^2 * A(x)). %F A357091 E.g.f. satisfies log(A(x)) = -log(1 - x * A(x))^3 * A(x). %F A357091 a(n) = Sum_{k=0..floor(n/3)} (3*k)! * (n+k+1)^(k-1) * |Stirling1(n,3*k)|/k!. %o A357091 (PARI) a(n) = sum(k=0, n\3, (3*k)!*(n+k+1)^(k-1)*abs(stirling(n, 3*k, 1))/k!); %Y A357091 Cf. A349556, A357090. %Y A357091 Cf. A357029. %K A357091 nonn %O A357091 0,4 %A A357091 _Seiichi Manyama_, Sep 11 2022