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A289032
Decimal expansion of the limiting ratio of consecutive terms of A288236.
3
1, 7, 5, 4, 8, 1, 7, 3, 5, 1, 4, 0, 9, 7, 3, 1, 1, 2, 8, 7, 9, 3, 3, 0, 6, 6, 5, 3, 8, 1, 7, 6, 7, 8, 7, 7, 8, 8, 2, 2, 0, 4, 3, 2, 2, 8, 4, 1, 4, 1, 6, 9, 5, 7, 6, 0, 4, 0, 7, 1, 2, 8, 4, 1, 4, 2, 2, 0, 8, 9, 3, 1, 8, 2, 2, 1, 5, 0, 9, 4, 7, 7, 3, 1, 5, 8
OFFSET
1,2
EXAMPLE
1.754817351409731128793306653817678778822...
MATHEMATICA
z = 2000; r = -4/5 + Sqrt[6];
u = CoefficientList[Series[1/Sum[Floor[(k + 1)*r] (-x)^k, {k, 0, z}], {x, 0, z}], x]; (* A288236 *)
v = N[u[[z]]/u[[z - 1]], 200]
RealDigits[v, 10][[1]](* A289032 *)
CROSSREFS
Cf. A288235, A289005, A078140 (includes guide to related constants).
Sequence in context: A280870 A374772 A019858 * A289005 A225408 A109134
KEYWORD
nonn,cons,easy
AUTHOR
Clark Kimberling, Jul 14 2017
STATUS
approved