A289267 Decimal expansion of the limiting ratio of consecutive terms of A289262.

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

Offset

1,2

Links

Table of n, a(n) for n=1..86.

Formula

Real root of the equation 2 - 2*x + x^2 - 2*x^3 + x^4 - 2*x^5 + x^6 = 0. - Vaclav Kotesovec, Aug 28 2021

Example

1.94630604272835654260927110687795006060927487947599...

Mathematica

z = 2000; r = 11/7;
u = CoefficientList[Series[1/Sum[Floor[(k + 1)*r] (-x)^k, {k, 0, z}], {x, 0, z}], x];  (* A289262 *)
v = N[u[[z]]/u[[z - 1]], 200]
RealDigits[v, 10][[1]](* A289267 *)

Crossrefs

Cf. A078140 (includes guide to related constants), A289262.

Sequence in context: A099281 A086240 A288240 * A197155 A153756 A322088

Adjacent sequences: A289264 A289265 A289266 * A289268 A289269 A289270

Keyword

nonn,cons,easy

Author

Clark Kimberling, Jul 14 2017

Status

approved