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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.

A364588 G.f. satisfies A(x) = 1/(1-x) + x^2*A(x)^4.

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%I A364588 #10 Jul 29 2023 10:46:28
%S A364588 1,1,2,5,15,49,170,613,2275,8629,33301,130333,516077,2063685,8321892,
%T A364588 33803161,138181521,568031297,2346668400,9737766513,40569611691,
%U A364588 169632827345,711611670532,2994165070045,12632782541053,53433933353885,226540298098019
%N A364588 G.f. satisfies A(x) = 1/(1-x) + x^2*A(x)^4.
%F A364588 a(n) = Sum_{k=0..floor(n/2)} binomial(n+k,3*k) * binomial(4*k,k) / (3*k+1).
%o A364588 (PARI) a(n) = sum(k=0, n\2, binomial(n+k, 3*k)*binomial(4*k,k)/(3*k+1));
%Y A364588 Cf. A049130, A090344.
%Y A364588 Cf. A226974, A349289, A364591.
%K A364588 nonn,easy
%O A364588 0,3
%A A364588 _Seiichi Manyama_, Jul 29 2023