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 A288238 #6 Aug 28 2021 04:44:31
%S A288238 1,9,9,9,9,8,8,5,5,4,7,9,4,8,1,5,9,6,3,1,6,3,3,9,9,2,0,4,3,6,5,1,5,5,
%T A288238 8,8,8,3,7,2,5,9,5,2,0,5,9,9,3,0,1,5,9,0,8,8,9,0,7,6,5,9,4,2,9,8,1,6,
%U A288238 3,1,5,6,1,5,3,9,0,2,8,0,4,7,4,4,0,7
%N A288238 Decimal expansion of the limiting ratio of consecutive terms of A288135.
%e A288238 1.99998855479481596316339920436515588837259520599...
%t A288238 z = 2000; r = Sqrt[7/3];
%t A288238 u = CoefficientList[Series[1/Sum[Floor[(k + 1)*r] (-x)^k, {k, 0, z}], {x, 0, z}], x]; (* A288135 *)
%t A288238 v = N[u[[z]]/u[[z - 1]], 200]
%t A288238 RealDigits[v, 10][[1]](* A288238 *)
%Y A288238 Cf. A288135, A078140 (includes guide to related constants).
%K A288238 nonn,cons,easy
%O A288238 1,2
%A A288238 _Clark Kimberling_, Jul 11 2017