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 A373569 #15 Jun 12 2024 11:39:33
%S A373569 1,6,15,55,190,671,2353,8272,29056,102091,358671,1260143,4427294,
%T A373569 15554592,54648506,191998646,674555937,2369942427,8326406594,
%U A373569 29253473175,102777312308,361091343583,1268635610806,4457144547354,15659451261015,55016930950608,193293024178230
%N A373569 Expansion of x + 1/(-x - 1/(-x - 1/(-x - 1/(-x - 1/(-x + 1))))).
%H A373569 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (3,3,-4,-1,1).
%F A373569 a(n) = [x^n] (x^6 - x^5 - 5*x^4 + 4*x^3 + 6*x^2 - 3*x - 1) / (x^5 - x^4 - 4*x^3 + 3*x^2 + 3*x - 1).
%t A373569 CoefficientList[Series[x + 1/(-x - 1/(-x - 1/(-x - 1/(-x - 1/(-x + 1))))), {x, 0, 26}], x] (* _Michael De Vlieger_, Jun 10 2024 *)
%Y A373569 Essentially the same as A006358.
%K A373569 nonn,easy
%O A373569 0,2
%A A373569 _Peter Luschny_, Jun 10 2024