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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.

A367061 G.f. satisfies A(x) = 1 + x*A(x)^3 + x^3*A(x)^5.

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%I A367061 #10 Nov 04 2023 10:12:02
%S A367061 1,1,3,13,63,328,1797,10210,59607,355409,2155166,13250055,82402013,
%T A367061 517453773,3276534510,20897024350,134118458191,865574280977,
%U A367061 5613879001983,36571135386965,239187418784442,1569994174618799,10338925554033967,68288387553861826
%N A367061 G.f. satisfies A(x) = 1 + x*A(x)^3 + x^3*A(x)^5.
%F A367061 a(n) = Sum_{k=0..floor(n/3)} binomial(2*n-k+1,k) * binomial(3*n-4*k,n-3*k)/(2*n-k+1).
%o A367061 (PARI) a(n) = sum(k=0, n\3, binomial(2*n-k+1, k)*binomial(3*n-4*k, n-3*k)/(2*n-k+1));
%Y A367061 Cf. A366676, A367057, A367058, A367059, A367060, A367062.
%K A367061 nonn
%O A367061 0,3
%A A367061 _Seiichi Manyama_, Nov 04 2023