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 A372088 #7 Apr 18 2024 09:32:01
%S A372088 1,2,8,36,176,904,4808,26240,146096,826496,4737088,27447936,160514144,
%T A372088 946139584,5615411904,33529225856,201268922112,1213912449280,
%U A372088 7352607996160,44705058498560,272757529797120,1669423083509760,10247263603251200,63066403179974656
%N A372088 G.f. A(x) satisfies A(x) = 1/( 1 - 4*x*(1 + x*A(x)) )^(1/2).
%F A372088 a(n) = Sum_{k=0..n} 4^k * binomial(n/2+k/2-1/2,k) * binomial(k,n-k)/(n-k+1).
%o A372088 (PARI) a(n) = sum(k=0, n, 4^k*binomial(n/2+k/2-1/2, k)*binomial(k, n-k)/(n-k+1));
%Y A372088 Cf. A372002.
%K A372088 nonn
%O A372088 0,2
%A A372088 _Seiichi Manyama_, Apr 17 2024