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A289267
Decimal expansion of the limiting ratio of consecutive terms of A289262.
2
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
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
KEYWORD
nonn,cons,easy
AUTHOR
Clark Kimberling, Jul 14 2017
STATUS
approved