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 A382043 #9 Mar 13 2025 09:52:11
%S A382043 1,1,10,168,4280,146840,6354432,332467072,20419261312,1440559380096,
%T A382043 114820434103040,10205253450850304,1000815286620229632,
%U A382043 107355373421379825664,12504295470535952613376,1571670041412254073323520,212035122185327799251468288,30561822671438790519426154496
%N A382043 E.g.f. A(x) satisfies A(x) = 1 + x*A(x)^3*exp(2*x*A(x)).
%F A382043 a(n) = n! * Sum_{k=0..n} (2*k)^(n-k) * binomial(n+2*k+1,k)/((n+2*k+1) * (n-k)!).
%o A382043 (PARI) a(n) = n!*sum(k=0, n, (2*k)^(n-k)*binomial(n+2*k+1, k)/((n+2*k+1)*(n-k)!));
%Y A382043 Cf. A366232, A379690, A382044.
%Y A382043 Cf. A364984, A382030.
%K A382043 nonn
%O A382043 0,3
%A A382043 _Seiichi Manyama_, Mar 13 2025