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 A289005 #6 Aug 28 2021 04:49:24
%S A289005 1,7,5,4,8,1,7,3,5,1,4,0,9,7,9,6,8,7,2,3,3,0,0,0,7,6,5,0,0,0,8,3,3,5,
%T A289005 0,0,6,7,6,0,1,7,8,9,8,8,0,4,4,0,1,7,4,2,1,3,5,8,2,7,9,8,1,5,4,4,1,9,
%U A289005 3,6,5,7,4,0,8,3,2,5,3,7,5,9,7,7,2,5
%N A289005 Decimal expansion of the limiting ratio of consecutive terms of A288235.
%e A289005 1.75481735140979687233000...
%t A289005 z = 2000; r = Sqrt[E];
%t A289005 u = CoefficientList[Series[1/Sum[Floor[(k + 1)*r] (-x)^k, {k, 0, z}], {x, 0, z}], x]; (* A288235 *)
%t A289005 v = N[u[[z]]/u[[z - 1]], 200]
%t A289005 RealDigits[v, 10][[1]](* A289005 *)
%Y A289005 Cf. A288235, A289032, A078140 (includes guide to related constants).
%K A289005 nonn,cons,easy
%O A289005 1,2
%A A289005 _Clark Kimberling_, Jul 14 2017