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 A377547 #6 Nov 01 2024 09:30:14
%S A377547 1,2,26,642,24032,1213770,77394732,5969555438,540660333488,
%T A377547 56259187813170,6614835933664820,867369682746517302,
%U A377547 125500890673265913192,19863391924198865128970,3413850970930399074000044,633165846392393276109473790,126051163243470714005823101792
%N A377547 E.g.f. satisfies A(x) = 1/(1 - x * A(x)^2 * exp(x*A(x)))^2.
%F A377547 E.g.f.: B(x)^2, where B(x) is the e.g.f. of A377549.
%F A377547 a(n) = 2 * n! * Sum_{k=0..n} k^(n-k) * binomial(2*n+3*k+2,k)/( (2*n+3*k+2)*(n-k)! ).
%o A377547 (PARI) a(n) = 2*n!*sum(k=0, n, k^(n-k)*binomial(2*n+3*k+2, k)/((2*n+3*k+2)*(n-k)!));
%Y A377547 Cf. A377549.
%K A377547 nonn
%O A377547 0,2
%A A377547 _Seiichi Manyama_, Oct 31 2024