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 A371914 #9 Apr 12 2024 02:06:30
%S A371914 1,1,3,7,15,43,168,626,2005,6245,22266,87365,328727,1154975,4086410,
%T A371914 15464587,60368094,229327457,847539610,3174058754,12277874065,
%U A371914 47912709420,184171945435,701491726600,2700878181660,10556457650417,41330116314628
%N A371914 G.f. A(x) satisfies A(x) = 1 - x/A(x)^3 * (1 - A(x) - A(x)^5).
%F A371914 a(n) = (1/n) * Sum_{k=0..n} binomial(n,k) * binomial(2*n-5*k,n-k-1) for n > 0.
%o A371914 (PARI) a(n) = if(n==0, 1, sum(k=0, n, binomial(n, k)*binomial(2*n-5*k, n-k-1))/n);
%Y A371914 Cf. A349332, A367725, A371913, A371915.
%K A371914 nonn
%O A371914 0,3
%A A371914 _Seiichi Manyama_, Apr 12 2024