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A289266
Decimal expansion of the limiting ratio of consecutive terms of A289261.
2
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
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
KEYWORD
nonn,cons,easy
AUTHOR
Clark Kimberling, Jul 14 2017
STATUS
approved