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A289917
Decimal expansion of the limiting ratio of consecutive terms of A289916.
3
1, 7, 2, 2, 0, 8, 3, 8, 0, 5, 7, 3, 9, 0, 4, 2, 2, 4, 5, 0, 2, 7, 0, 6, 9, 2, 1, 2, 1, 5, 3, 8, 3, 1, 4, 6, 2, 0, 7, 0, 1, 1, 6, 5, 5, 5, 7, 5, 1, 5, 5, 0, 3, 0, 7, 0, 4, 8, 7, 8, 3, 1, 3, 3, 5, 4, 2, 3, 0, 3, 7, 9, 5, 0, 6, 6, 0, 9, 8, 2, 9, 0, 7, 0, 9, 4
OFFSET
1,2
FORMULA
Equals (1 + sqrt(13) + sqrt(2*sqrt(13) - 2))/4. - Vaclav Kotesovec, Aug 27 2021
Largest real root of x^4 - x^3 - x^2 - x + 1. - Linas Vepstas, Feb 06 2024
EXAMPLE
1.722083805739042245027069212153831462070116555...
MATHEMATICA
z = 2000; r = 9/7;
u = CoefficientList[Series[1/Sum[Round[(k + 1)*r] (-x)^k, {k, 0, z}], {x, 0, z}],
x]; (* A289916 *)
v = N[u[[z]]/u[[z - 1]], 200]
RealDigits[v, 10][[1]] (* A289917 *)
CROSSREFS
Cf. A078140 (includes guide to related constants), A289916.
Sequence in context: A274570 A334056 A176704 * A198415 A195723 A138996
KEYWORD
nonn,cons,easy
AUTHOR
Clark Kimberling, Jul 18 2017
STATUS
approved