A289033 Decimal expansion of the limiting ratio of consecutive terms of A288237.

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, 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, 3, 0, 6, 0, 1, 7, 8, 2, 1, 1, 4, 6, 3, 0, 5, 3, 4, 1

Offset: 1

Author

Clark Kimberling, Jul 14 2017

Keywords

• nonn
• cons
• easy

Examples

			1.7548776666...
		

Crossrefs

Cf. A288237, A078140 (includes guide to related constants).

Programs

Mathematica

z = 2000; r = -4/5 + Sqrt[11/4];
u = CoefficientList[Series[1/Sum[Floor[(k + 1)*r] (-x)^k, {k, 0, z}], {x, 0, z}], x];  (* A288237 *)
v = N[u[[z]]/u[[z - 1]], 200]
RealDigits[v, 10][[1]](* A289033 *)