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 A371614 #11 Mar 30 2024 02:36:20
%S A371614 1,2,5,26,138,814,5051,32550,215792,1461934,10077345,70450980,
%T A371614 498328320,3559894566,25646621725,186122575840,1359384244220,
%U A371614 9984580141702,73703387448245,546492958156148,4068417329371228,30397841636794944,227872480308702892
%N A371614 G.f. satisfies A(x) = ( 1 + x / (1 - x*A(x)^2)^2 )^2.
%F A371614 a(n) = Sum_{k=0..n} binomial(4*(n-k)+2,k) * binomial(n+k-1,n-k)/(2*(n-k)+1).
%o A371614 (PARI) a(n, r=2, s=2, t=0, u=4) = r*sum(k=0, n, binomial(t*k+u*(n-k)+r, k)*binomial(n+(s-1)*k-1, n-k)/(t*k+u*(n-k)+r));
%Y A371614 Cf. A365120, A371615.
%Y A371614 Cf. A371612.
%K A371614 nonn
%O A371614 0,2
%A A371614 _Seiichi Manyama_, Mar 29 2024