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 A367072 #10 Nov 05 2023 09:01:34
%S A367072 1,1,0,2,6,6,14,60,120,216,732,2028,4240,11280,33696,83328,207072,
%T A367072 591360,1606752,4102656,11172528,31167280,83112000,223249824,
%U A367072 619860960,1699634784,4603619616,12689107200,35170240512,96523315200,265883115264,738668408064
%N A367072 G.f. satisfies A(x) = 1 + x + 2*x^3*A(x)^3.
%F A367072 a(n) = Sum_{k=0..floor(n/3)} 2^k * binomial(2*k+1,n-3*k) * A001764(k).
%o A367072 (PARI) a(n) = sum(k=0, n\3, 2^k*binomial(2*k+1, n-3*k)*binomial(3*k, k)/(2*k+1));
%Y A367072 Cf. A001764, A366555, A367073, A367074.
%Y A367072 Cf. A367111.
%K A367072 nonn
%O A367072 0,4
%A A367072 _Seiichi Manyama_, Nov 05 2023