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A288240
Decimal expansion of the limiting ratio of consecutive terms of A288230.
2
1, 9, 4, 6, 2, 9, 0, 3, 8, 3, 5, 0, 2, 7, 4, 5, 0, 5, 1, 2, 0, 9, 7, 3, 9, 5, 6, 5, 8, 1, 4, 8, 5, 8, 6, 7, 0, 4, 2, 4, 2, 1, 2, 6, 9, 2, 6, 7, 3, 3, 1, 2, 8, 3, 4, 4, 5, 6, 5, 5, 2, 6, 1, 2, 1, 3, 0, 2, 5, 7, 9, 1, 7, 4, 0, 3, 2, 0, 3, 8, 0, 8, 0, 6, 0, 2
OFFSET
1,2
EXAMPLE
1.9462903835027450512097395658148586704242126926733...
MATHEMATICA
z = 2000; r = Sqrt[5/2];
u = CoefficientList[Series[1/Sum[Floor[(k + 1)*r] (-x)^k, {k, 0, z}], {x, 0, z}], x]; (* A288230 *)
v = N[u[[z]]/u[[z - 1]], 200]
RealDigits[v, 10][[1]](* A288240 *)
CROSSREFS
Cf. A288230, A078140 (includes guide to related constants).
Sequence in context: A213614 A099281 A086240 * A289267 A197155 A153756
KEYWORD
nonn,cons,easy
AUTHOR
Clark Kimberling, Jul 11 2017
STATUS
approved