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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.

A367074 G.f. satisfies A(x) = 1 + 2*x + 2*x^3*A(x)^3.

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%I A367074 #10 Nov 05 2023 09:01:20
%S A367074 1,2,0,2,12,24,28,120,480,1056,2304,8448,27760,69600,191232,643104,
%T A367074 1978560,5470080,16353792,52557312,159694848,468853760,1444300800,
%U A367074 4549644288,13905927936,42219904512,131505807360,411672307200,1270614647808,3928681875456
%N A367074 G.f. satisfies A(x) = 1 + 2*x + 2*x^3*A(x)^3.
%F A367074 a(n) = Sum_{k=0..floor(n/3)} 2^(n-2*k) * binomial(2*k+1,n-3*k) * A001764(k).
%o A367074 (PARI) a(n) = sum(k=0, n\3, 2^(n-2*k)*binomial(2*k+1, n-3*k)*binomial(3*k, k)/(2*k+1));
%Y A367074 Cf. A001764, A366555, A367072, A367073.
%Y A367074 Cf. A367113.
%K A367074 nonn
%O A367074 0,2
%A A367074 _Seiichi Manyama_, Nov 05 2023