A289266 Decimal expansion of the limiting ratio of consecutive terms of A289261.

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

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 - 2*x^4 + x^5 - 2*x^6 + x^7 = 0. - Vaclav Kotesovec, Aug 28 2021

Example

1.7640468687532034038928500563010585645579163733...

Mathematica

z = 2000; r = 13/8;
u = CoefficientList[Series[1/Sum[Floor[(k + 1)*r] (-x)^k, {k, 0, z}], {x, 0, z}], x];  (* A289261 *)
v = N[u[[z]]/u[[z - 1]], 200]
RealDigits[v, 10][[1]](* A289266 *)

Crossrefs

Cf. A078140 (includes guide to related constants), A289261.

Sequence in context: A230327 A105419 A288242 * A175996 A248940 A134982

Adjacent sequences: A289263 A289264 A289265 * A289267 A289268 A289269

Keyword

nonn,cons,easy

Author

Clark Kimberling, Jul 14 2017

Status

approved