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 A186001 #11 Oct 18 2024 21:43:03
%S A186001 1,1,2,5,15,52,205,917,4658,26817,173899,1257916,10036409,87351977,
%T A186001 821268402,8273013085,88696718215,1006586902196,12037812901733,
%U A186001 151136735414301,1985815346287906
%N A186001 Expansion of 1/(1-x/(1-x/(1-x/(1-2x/(1-x/(1-4x/(1-x/(1-6x/(1-... (continued fraction).
%C A186001 Hankel transform is A186002.
%F A186001 G.f.: 1/(1-x/(1-x*g(x))), g(x) the g.f. of A004211.
%F A186001 G.f.: 1/(1-x-x^2/(1-2x-2x^2/(1-3x-4x^2/(1-5x-6x^2/(1-7x-8x^2/(1-.... (continued fraction).
%F A186001 a(n) = a(n-1) + Sum_{i=0..n-2} A004211(i)*a(n-1-i) for n > 0.
%Y A186001 Cf. A004211, A186002.
%K A186001 nonn,easy
%O A186001 0,3
%A A186001 _Paul Barry_, Feb 09 2011