A289262 -id:A289262 - cp's OEIS frontend

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

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Clark Kimberling, Jul 14 2017

nonn
cons
easy

			1.94630604272835654260927110687795006060927487947599...

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

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 *)

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

cp's OEIS Frontend

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

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