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 A363479 #13 Aug 17 2023 08:16:16 %S A363479 1,1,9,160,4381,162816,7663669,437164288,29317265625,2260685099008, %T A363479 197088986941921,19170218777296896,2058199476739788661, %U A363479 241779221463040000000,30847476924400409437389,4247859315849037948911616,627960846411135123552180529 %N A363479 E.g.f. satisfies A(x) = exp(x * A(x)^3 * (1 + x * A(x)^3)). %F A363479 a(n) = n! * Sum_{k=0..n} (3*n+1)^(k-1) * binomial(k,n-k)/k!. %o A363479 (PARI) a(n) = n!*sum(k=0, n, (3*n+1)^(k-1)*binomial(k, n-k)/k!); %Y A363479 Cf. A088695, A363358. %Y A363479 Cf. A361094. %K A363479 nonn %O A363479 0,3 %A A363479 _Seiichi Manyama_, Aug 17 2023