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 A364735 #10 Aug 05 2023 13:11:52
%S A364735 1,1,0,-2,-1,8,10,-37,-84,168,660,-624,-4950,583,35464,23166,-240513,
%T A364735 -359008,1511640,3898100,-8387664,-36522256,35444728,311764768,
%U A364735 -25659766,-2466384737,-1793133360,18077558170,28951038285,-120750295320,-330486900870
%N A364735 G.f. satisfies A(x) = 1 + x*A(x) / (1 + x*A(x)^2).
%F A364735 a(n) = (1/n) * Sum_{k=0..n-1} (-1)^k * binomial(n,k) * binomial(n+k,n-1-k) for n > 0.
%o A364735 (PARI) a(n) = if(n==0, 1, sum(k=0, n-1, (-1)^k*binomial(n, k)*binomial(n+k, n-1-k))/n);
%Y A364735 Cf. A364736, A364737, A364738.
%Y A364735 Cf. A106228.
%K A364735 sign
%O A364735 0,4
%A A364735 _Seiichi Manyama_, Aug 05 2023