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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.

A364595 G.f. satisfies A(x) = 1/(1-x) + x^3*(1-x)*A(x)^3.

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%I A364595 #9 Jul 29 2023 10:50:46
%S A364595 1,1,1,2,3,4,8,15,25,50,102,193,390,815,1645,3385,7141,14893,31196,
%T A364595 66309,140752,299043,640367,1373929,2950006,6360976,13749865,29753891,
%U A364595 64547097,140329453,305470485,666084272,1454920255,3181946080,6968134645,15280422274
%N A364595 G.f. satisfies A(x) = 1/(1-x) + x^3*(1-x)*A(x)^3.
%F A364595 a(n) = Sum_{k=0..floor(n/3)} binomial(n-2*k,k) * binomial(3*k,k) / (2*k+1).
%o A364595 (PARI) a(n) = sum(k=0, n\3, binomial(n-2*k, k)*binomial(3*k, k)/(2*k+1));
%Y A364595 Cf. A364596, A364597.
%K A364595 nonn,easy
%O A364595 0,4
%A A364595 _Seiichi Manyama_, Jul 29 2023