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 A365692 #11 Sep 16 2023 10:42:00
%S A365692 1,1,1,2,7,23,72,238,831,2959,10645,38824,143492,535700,2016020,
%T A365692 7641574,29152015,111841263,431209723,1669945778,6493144143,
%U A365692 25338440143,99204579648,389570145288,1534026813892,6055885764548,23962654178012,95023123291680
%N A365692 G.f. satisfies A(x) = 1 + x*A(x) / (1 - x^2*A(x)^4).
%F A365692 a(n) = Sum_{k=0..floor(n/2)} binomial(n-k-1,k) * binomial(n+2*k+1,n-2*k) / (n+2*k+1).
%o A365692 (PARI) a(n) = sum(k=0, n\2, binomial(n-k-1, k)*binomial(n+2*k+1, n-2*k)/(n+2*k+1));
%Y A365692 Cf. A101785, A365244, A365693.
%Y A365692 Cf. A365690.
%K A365692 nonn
%O A365692 0,4
%A A365692 _Seiichi Manyama_, Sep 16 2023