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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.

A369691 G.f. satisfies A(x) = 1/(1-x)^3 + x^3*A(x)^3.

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%I A369691 #13 Jan 29 2024 09:46:57
%S A369691 1,3,6,11,24,66,196,576,1692,5110,15933,50604,161988,521700,1693362,
%T A369691 5541679,18260055,60487659,201272437,672550158,2256204327,7596059333,
%U A369691 25655943417,86904524289,295154911774,1004906765178,3429178160346,11726499288028,40178538608682
%N A369691 G.f. satisfies A(x) = 1/(1-x)^3 + x^3*A(x)^3.
%F A369691 a(n) = Sum_{k=0..floor(n/3)} binomial(n+3*k+2,n-3*k) * binomial(3*k,k) / (2*k+1).
%o A369691 (PARI) a(n) = sum(k=0, n\3, binomial(n+3*k+2, n-3*k)*binomial(3*k, k)/(2*k+1));
%Y A369691 Cf. A364623, A364626.
%Y A369691 Cf. A086615, A369693.
%Y A369691 Cf. A364589.
%K A369691 nonn
%O A369691 0,2
%A A369691 _Seiichi Manyama_, Jan 29 2024