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 A376564 #10 Sep 28 2024 10:42:19
%S A376564 1,1,3,22,245,3456,60487,1283584,31971753,912448000,29369155211,
%T A376564 1053204332544,41646891006877,1800306963331072,84464613778359375,
%U A376564 4274750510822588416,232146299393990454353,13465725621588464173056,830921722002492358973203
%N A376564 E.g.f. satisfies A(x) = exp( x*A(x) * (1 + x^2*A(x)^2) ).
%H A376564 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A376564 E.g.f.: (1/x) * Series_Reversion( x*exp(-x * (1 + x^2)) ).
%F A376564 a(n) = n! * Sum_{k=0..floor(n/3)} (n+1)^(n-2*k-1) * binomial(n-2*k,k)/(n-2*k)!.
%o A376564 (PARI) a(n) = n!*sum(k=0, n\3, (n+1)^(n-2*k-1)*binomial(n-2*k, k)/(n-2*k)!);
%Y A376564 Cf. A088695, A376565.
%Y A376564 Cf. A118395, A376476.
%K A376564 nonn
%O A376564 0,3
%A A376564 _Seiichi Manyama_, Sep 28 2024