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 A343441 #13 Apr 16 2021 09:03:59
%S A343441 1,1,-2,14,-238,10486,-1360142,566636294,-790250356798,
%T A343441 3769300938094006,-62394920105801115182,3626853378943129415555174,
%U A343441 -747708300997964314376024192158,551445848326104642338923476399909526,-1465934793325188376367147565710854513799822,14139840911021914090289579305382872859520174083654
%N A343441 G.f.: 1 + C(1)*x/(1 + C(2)*x/(1 + C(3)*x/(1 + C(4)*x/(1 + C(5)*x/(1 +...))))), where C(n) are the Catalan numbers A000108.
%H A343441 Seiichi Manyama, <a href="/A343441/b343441.txt">Table of n, a(n) for n = 0..61</a>
%F A343441 G.f.: 1/(Sum_{k>=0} A268646(k) * (-x)^k).
%o A343441 (PARI) c(n) = binomial(2*n, n)/(n+1);
%o A343441 a(n) = my(A=1+O(x)); for(i=1, n, A=1+c(n-i+1)*x/A); polcoef(A, n);
%Y A343441 Cf. A000108, A268646.
%K A343441 sign
%O A343441 0,3
%A A343441 _Seiichi Manyama_, Apr 15 2021