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%I #6 Aug 28 2021 04:47:42
%S 1,9,4,6,2,9,0,3,8,3,5,0,2,7,4,5,0,5,1,2,0,9,7,3,9,5,6,5,8,1,4,8,5,8,
%T 6,7,0,4,2,4,2,1,2,6,9,2,6,7,3,3,1,2,8,3,4,4,5,6,5,5,2,6,1,2,1,3,0,2,
%U 5,7,9,1,7,4,0,3,2,0,3,8,0,8,0,6,0,2
%N Decimal expansion of the limiting ratio of consecutive terms of A288230.
%e 1.9462903835027450512097395658148586704242126926733...
%t z = 2000; r = Sqrt[5/2];
%t u = CoefficientList[Series[1/Sum[Floor[(k + 1)*r] (-x)^k, {k, 0, z}], {x, 0, z}], x]; (* A288230 *)
%t v = N[u[[z]]/u[[z - 1]], 200]
%t RealDigits[v, 10][[1]](* A288240 *)
%Y Cf. A288230, A078140 (includes guide to related constants).
%K nonn,cons,easy
%O 1,2
%A _Clark Kimberling_, Jul 11 2017
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