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 A364539 #8 Jul 28 2023 10:36:22
%S A364539 1,1,1,2,7,22,62,182,583,1928,6358,21063,70888,241889,831634,2874584,
%T A364539 9995579,34966279,122938956,434062141,1538378816,5471697241,
%U A364539 19525345791,69880082323,250767909528,902123110483,3252793321513,11753570922933,42553831219830
%N A364539 G.f. satisfies A(x) = 1 + x*A(x) + x^3*A(x)^5.
%F A364539 a(n) = Sum_{k=0..floor(n/3)} binomial(n+2*k,5*k) * binomial(5*k,k) / (4*k+1).
%o A364539 (PARI) a(n) = sum(k=0, n\3, binomial(n+2*k, 5*k)*binomial(5*k, k)/(4*k+1));
%Y A364539 Cf. A063019, A182454, A349311, A364522.
%Y A364539 Cf. A023431, A071879, A215340.
%K A364539 nonn,easy
%O A364539 0,4
%A A364539 _Seiichi Manyama_, Jul 28 2023