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 A370471 #13 Mar 31 2024 08:47:23
%S A370471 1,2,7,36,215,1396,9571,68174,499554,3741430,28512825,220388592,
%T A370471 1723616516,13614340486,108450776960,870264507952,7028286595932,
%U A370471 57081622558906,465925734601567,3820141417134780,31447663707379395,259821859662976686,2153756454578830070
%N A370471 G.f. satisfies A(x) = 1 + x * A(x)^(1/2) * (1 + A(x)^(5/2)).
%F A370471 a(n) = Sum{k=0..n} binomial(n,k) * binomial(n/2+5*k/2+1,n)/(n/2+5*k/2+1).
%o A370471 (PARI) a(n) = sum(k=0, n, binomial(n, k)*binomial(n/2+5*k/2+1, n)/(n/2+5*k/2+1));
%Y A370471 Cf. A366401, A370475.
%Y A370471 Cf. A262441, A370472.
%K A370471 nonn
%O A370471 0,2
%A A370471 _Seiichi Manyama_, Mar 31 2024