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 A372201 #7 Apr 22 2024 07:19:44
%S A372201 1,3,27,351,6309,145143,4083669,136159299,5256248265,230783968395,
%T A372201 11364265672929,620524946670687,37222254648712989,2433741005377774719,
%U A372201 172301622840992025117,13133140607475128862747,1072406955985984437773841,93406430850089038192704915
%N A372201 E.g.f. A(x) satisfies A(x) = exp( 3 * x / (1 - x * A(x)^(1/3))^3 ).
%F A372201 E.g.f.: A(x) = B(x)^3 where B(x) is the e.g.f. of A364938.
%F A372201 If e.g.f. satisfies A(x) = exp( r*x*A(x)^(t/r) / (1 - x*A(x)^(u/r))^s ), then a(n) = r * n! * Sum_{k=0..n} (t*k+u*(n-k)+r)^(k-1) * binomial(n+(s-1)*k-1,n-k)/k!.
%o A372201 (PARI) a(n, r=3, s=3, t=0, u=1) = r*n!*sum(k=0, n, (t*k+u*(n-k)+r)^(k-1)*binomial(n+(s-1)*k-1, n-k)/k!);
%Y A372201 Cf. A161630, A372200.
%Y A372201 Cf. A364938.
%K A372201 nonn
%O A372201 0,2
%A A372201 _Seiichi Manyama_, Apr 21 2024