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 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