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 A379253 #6 Dec 19 2024 10:10:18
%S A379253 1,2,18,250,4114,74274,1422370,28375578,583343970,12271614850,
%T A379253 262896435954,5715805729274,125797580340978,2797216275743010,
%U A379253 62745424152317314,1418139209556260250,32263795396317233090,738290052194219833346,16981168956515987563730
%N A379253 G.f. A(x) satisfies A(x) = 1 + x * A(x)^2 * (1 + A(x)^5).
%F A379253 a(n) = Sum_{k=0..n} binomial(n,k) * binomial(2*n+5*k+1,n)/(2*n+5*k+1).
%o A379253 (PARI) a(n) = sum(k=0, n, binomial(n, k)*binomial(2*n+5*k+1, n)/(2*n+5*k+1));
%Y A379253 Cf. A361638.
%K A379253 nonn
%O A379253 0,2
%A A379253 _Seiichi Manyama_, Dec 19 2024