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 A372202 #9 Apr 22 2024 07:20:56
%S A372202 1,2,12,92,1024,14192,241624,4855832,112887520,2981919392,88274138344,
%T A372202 2896196131688,104341759873168,4096112838853232,174063938788299928,
%U A372202 7961816811743462648,390072804802178286016,20381525361707872355648,1131437006755346662551496
%N A372202 E.g.f. A(x) satisfies A(x) = exp( 2 * x * (1 + x * A(x)^(1/2))^2 ).
%F A372202 E.g.f.: A(x) = B(x)^2 where B(x) is the e.g.f. of A363744.
%F A372202 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(s*k,n-k)/k!.
%o A372202 (PARI) a(n, r=2, s=2, t=0, u=1) = r*n!*sum(k=0, n, (t*k+u*(n-k)+r)^(k-1)*binomial(s*k, n-k)/k!);
%Y A372202 Cf. A363744, A372200.
%K A372202 nonn
%O A372202 0,2
%A A372202 _Seiichi Manyama_, Apr 21 2024