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.
%I A367113 #11 Nov 05 2023 09:01:07
%S A367113 1,2,4,10,32,112,396,1416,5184,19424,73984,285056,1108848,4350816,
%T A367113 17203008,68473504,274122752,1103014912,4458611968,18096793088,
%U A367113 73724852224,301360575488,1235633545216,5080554352640,20943623880448,86541514460672,358386391051264
%N A367113 G.f. satisfies A(x) = 1 + 2*x*A(x) + 2*x^3*A(x)^3.
%F A367113 a(n) = Sum_{k=0..floor(n/3)} 2^(n-2*k) * binomial(n,3*k) * A001764(k).
%o A367113 (PARI) a(n) = sum(k=0, n\3, 2^(n-2*k)*binomial(n, 3*k)*binomial(3*k, k)/(2*k+1));
%Y A367113 Cf. A001764, A071879, A367111, A367112.
%Y A367113 Cf. A071356, A367115.
%Y A367113 Cf. A367074.
%K A367113 nonn,easy
%O A367113 0,2
%A A367113 _Seiichi Manyama_, Nov 05 2023