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 A380724 #10 Jan 31 2025 09:25:38 %S A380724 1,2,29,862,39461,2454296,193406953,18475039808,2075062993865, %T A380724 268013104242688,39139481641977461,6377306725457207552, %U A380724 1147019426037344539501,225728971809041691392000,48248339461852786811399489,11131014193619108036340637696,2756799306857952163745291500433 %N A380724 E.g.f. A(x) satisfies A(x) = exp(x * A(x)^3) / (1 - x*A(x)^3). %F A380724 a(n) = n! * Sum_{k=0..n} (3*n+1)^(k-1) * binomial(4*n-k,n-k)/k!. %o A380724 (PARI) a(n) = n!*sum(k=0, n, (3*n+1)^(k-1)*binomial(4*n-k, n-k)/k!); %Y A380724 Cf. A377831, A380723. %Y A380724 Cf. A373324, A377889. %Y A380724 Cf. A360609. %K A380724 nonn %O A380724 0,2 %A A380724 _Seiichi Manyama_, Jan 30 2025