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 A377491 #9 Oct 30 2024 08:04:31 %S A377491 1,3,51,1692,85245,5799348,498288327,51799641372,6323803975545, %T A377491 887056541576820,140606281908386763,24856199282033820396, %U A377491 4848804928048309664181,1034685331580238018659748,239758404709207383049312239,59955226332194712661373725884 %N A377491 E.g.f. satisfies A(x) = 1/(1 - A(x) * (exp(x*A(x)) - 1))^3. %F A377491 E.g.f.: B(x)^3, where B(x) is the e.g.f. of A377498. %F A377491 a(n) = 3 * Sum_{k=0..n} (3*n+4*k+2)!/(3*n+3*k+3)! * Stirling2(n,k). %o A377491 (PARI) a(n) = 3*sum(k=0, n, (3*n+4*k+2)!/(3*n+3*k+3)!*stirling(n, k, 2)); %Y A377491 Cf. A367162, A377490. %Y A377491 Cf. A377498. %K A377491 nonn %O A377491 0,2 %A A377491 _Seiichi Manyama_, Oct 29 2024