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 A365034 #11 Aug 18 2023 08:26:43 %S A365034 1,1,11,175,4317,142561,5929513,297901899,17557448681,1188110627137, %T A365034 90804918357261,7737033497254579,727253150819898541, %U A365034 74760871323339663489,8344094871249960257009,1004872166403751985971291,129883465213311163328142417 %N A365034 E.g.f. satisfies A(x) = exp(x * A(x)^2 * (1 + x * A(x))^3). %F A365034 a(n) = n! * Sum_{k=0..n} (n+k+1)^(k-1) * binomial(3*k,n-k)/k!. %o A365034 (PARI) a(n) = n!*sum(k=0, n, (n+k+1)^(k-1)*binomial(3*k, n-k)/k!); %Y A365034 Cf. A363357, A365033. %Y A365034 Cf. A364942. %K A365034 nonn %O A365034 0,3 %A A365034 _Seiichi Manyama_, Aug 17 2023