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 A376563 #11 Sep 28 2024 10:42:32
%S A376563 1,1,3,16,149,2016,34447,697264,16349769,438688000,13302715931,
%T A376563 450127632384,16805250091357,685963808029696,30389466219654375,
%U A376563 1452343581621354496,74484586717220845073,4080558161067766972416,237830597688699873580339,14694357436059217272832000
%N A376563 E.g.f. satisfies A(x) = exp( x*A(x) / (1 - x^3*A(x)^3) ).
%H A376563 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A376563 E.g.f.: (1/x) * Series_Reversion( x*exp(-x / (1 - x^3)) ).
%F A376563 a(n) = n! * Sum_{k=0..floor(n/3)} (n+1)^(n-3*k-1) * binomial(n-2*k-1,k)/(n-3*k)!.
%o A376563 (PARI) a(n) = n!*sum(k=0, n\3, (n+1)^(n-3*k-1)*binomial(n-2*k-1, k)/(n-3*k)!);
%Y A376563 Cf. A052873, A376558.
%Y A376563 Cf. A293493, A376475.
%K A376563 nonn
%O A376563 0,3
%A A376563 _Seiichi Manyama_, Sep 28 2024