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 A364743 #13 Aug 05 2023 10:32:33 %S A364743 1,1,5,19,85,402,1971,9976,51633,272131,1455486,7879664,43096967, %T A364743 237777710,1321792096,7396125088,41624735353,235461758085, %U A364743 1338049873395,7634930866465,43726638130854,251273386911443,1448362622788376,8371936106228253 %N A364743 G.f. satisfies A(x) = 1 / (1 - x*(1 + x*A(x))^4). %H A364743 Seiichi Manyama, <a href="/A364743/b364743.txt">Table of n, a(n) for n = 0..1000</a> %F A364743 a(n) = (1/(n+1)) * Sum_{k=0..n} binomial(n+1,k) * binomial(4*k,n-k). %o A364743 (PARI) a(n) = sum(k=0, n, binomial(n+1, k)*binomial(4*k, n-k))/(n+1); %Y A364743 Cf. A001006, A161634, A364742, A364744. %K A364743 nonn %O A364743 0,3 %A A364743 _Seiichi Manyama_, Aug 05 2023