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 A289003 #6 Aug 28 2021 04:48:58
%S A289003 1,7,5,5,2,0,2,4,8,4,6,1,4,3,8,4,6,1,3,4,8,9,8,8,1,0,5,0,7,7,5,5,3,3,
%T A289003 4,1,3,4,4,4,3,6,6,6,5,3,2,4,1,1,3,7,4,5,8,2,9,2,8,1,2,4,8,2,4,4,4,5,
%U A289003 5,7,4,5,3,3,4,0,5,0,0,7,2,6,9,0,3,7
%N A289003 Decimal expansion of the limiting ratio of consecutive terms of A288234.
%e A289003 1.755202484614384613489881050775533413444366653241137458292812482444...
%t A289003 z = 2000; r = -1 + Sqrt[7];
%t A289003 u = CoefficientList[Series[1/Sum[Floor[(k + 1)*r] (-x)^k, {k, 0, z}], {x, 0, z}], x]; (* A288234 *)
%t A289003 v = N[u[[z]]/u[[z - 1]], 200]
%t A289003 RealDigits[v, 10][[1]](* A289003 *)
%Y A289003 Cf. A288234, A078140 (includes guide to related constants).
%K A289003 nonn,cons,easy
%O A289003 1,2
%A A289003 _Clark Kimberling_, Jul 14 2017