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Decimal expansion of the limiting ratio of consecutive terms of A288232.
2

%I #6 Aug 28 2021 04:48:06

%S 1,7,6,4,0,4,5,6,9,2,5,1,6,3,1,0,8,6,5,8,7,6,6,6,7,1,3,8,6,7,4,2,6,3,

%T 3,5,4,1,3,2,4,7,6,9,0,5,2,0,1,2,9,8,1,1,8,0,9,5,4,1,4,9,5,1,6,8,4,2,

%U 5,2,3,0,7,1,1,2,7,1,7,9,9,6,7,3,6,3

%N Decimal expansion of the limiting ratio of consecutive terms of A288232.

%e 1.76404569251631086587666713867426335413247690520129811...

%t z = 2000; r = 3E/5;

%t u = CoefficientList[Series[1/Sum[Floor[(k + 1)*r] (-x)^k, {k, 0, z}], {x, 0, z}], x]; (* A288232 *)

%t v = N[u[[z]]/u[[z - 1]], 200]

%t RealDigits[v, 10][[1]](* A288242 *)

%Y Cf. A288232, A078140 (includes guide to related constants).

%K nonn,cons,easy

%O 1,2

%A _Clark Kimberling_, Jul 11 2017