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%I #6 Aug 28 2021 04:49:52
%S 1,7,5,4,8,7,7,6,6,6,6,9,4,3,6,8,8,4,2,7,7,3,5,7,2,6,1,1,2,3,8,9,7,2,
%T 3,2,9,2,3,1,2,3,6,2,6,8,3,9,7,7,3,4,3,2,0,7,2,5,7,8,4,6,7,9,4,7,7,7,
%U 3,0,6,0,1,7,8,2,1,1,4,6,3,0,5,3,4,1
%N Decimal expansion of the limiting ratio of consecutive terms of A288237.
%e 1.7548776666...
%t z = 2000; r = -4/5 + Sqrt[11/4];
%t u = CoefficientList[Series[1/Sum[Floor[(k + 1)*r] (-x)^k, {k, 0, z}], {x, 0, z}], x]; (* A288237 *)
%t v = N[u[[z]]/u[[z - 1]], 200]
%t RealDigits[v, 10][[1]](* A289033 *)
%Y Cf. A288237, A078140 (includes guide to related constants).
%K nonn,cons,easy
%O 1,2
%A _Clark Kimberling_, Jul 14 2017
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