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 A376565 #12 Sep 28 2024 10:42:14
%S A376565 1,1,3,16,149,2016,34447,692224,15986889,420544000,12494098331,
%T A376565 414681513984,15201740343517,609446038061056,26511336043734375,
%U A376565 1243650774790045696,62591481040666342673,3364694927903114919936,192423068815578523022899,11665229364232192000000000
%N A376565 E.g.f. satisfies A(x) = exp( x*A(x) * (1 + x^3*A(x)^3) ).
%H A376565 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A376565 E.g.f.: (1/x) * Series_Reversion( x*exp(-x * (1 + x^3)) ).
%F A376565 a(n) = n! * Sum_{k=0..floor(n/4)} (n+1)^(n-3*k-1) * binomial(n-3*k,k)/(n-3*k)!.
%o A376565 (PARI) a(n) = n!*sum(k=0, n\4, (n+1)^(n-3*k-1)*binomial(n-3*k, k)/(n-3*k)!);
%Y A376565 Cf. A088695, A376564.
%Y A376565 Cf. A190875, A376477.
%K A376565 nonn
%O A376565 0,3
%A A376565 _Seiichi Manyama_, Sep 28 2024