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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.

A364333 G.f. satisfies A(x) = (1 + x*A(x)^2) * (1 + x*A(x)^6).

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%I A364333 #12 Jul 19 2023 07:48:35
%S A364333 1,2,17,216,3224,52640,910452,16392140,303996224,5767278431,
%T A364333 111401778266,2183535060362,43319505976084,868220464851417,
%U A364333 17552981176788200,357544690982030744,7330803752675100908,151172599088871911072,3133367418601958989295,65242183918761533467216
%N A364333 G.f. satisfies A(x) = (1 + x*A(x)^2) * (1 + x*A(x)^6).
%F A364333 a(n) = Sum_{k=0..n} binomial(2*n+4*k+1,k) * binomial(2*n+4*k+1,n-k) / (2*n+4*k+1).
%o A364333 (PARI) a(n) = sum(k=0, n, binomial(2*n+4*k+1, k)*binomial(2*n+4*k+1, n-k)/(2*n+4*k+1));
%Y A364333 Cf. A007863, A069271, A073157, A215654, A215715, A364331.
%Y A364333 Cf. A239109, A364339, A364340.
%Y A364333 Cf. A200718.
%K A364333 nonn
%O A364333 0,2
%A A364333 _Seiichi Manyama_, Jul 18 2023