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A289005
Decimal expansion of the limiting ratio of consecutive terms of A288235.
3
1, 7, 5, 4, 8, 1, 7, 3, 5, 1, 4, 0, 9, 7, 9, 6, 8, 7, 2, 3, 3, 0, 0, 0, 7, 6, 5, 0, 0, 0, 8, 3, 3, 5, 0, 0, 6, 7, 6, 0, 1, 7, 8, 9, 8, 8, 0, 4, 4, 0, 1, 7, 4, 2, 1, 3, 5, 8, 2, 7, 9, 8, 1, 5, 4, 4, 1, 9, 3, 6, 5, 7, 4, 0, 8, 3, 2, 5, 3, 7, 5, 9, 7, 7, 2, 5
OFFSET
1,2
EXAMPLE
1.75481735140979687233000...
MATHEMATICA
z = 2000; r = Sqrt[E];
u = CoefficientList[Series[1/Sum[Floor[(k + 1)*r] (-x)^k, {k, 0, z}], {x, 0, z}], x]; (* A288235 *)
v = N[u[[z]]/u[[z - 1]], 200]
RealDigits[v, 10][[1]](* A289005 *)
CROSSREFS
Cf. A288235, A289032, A078140 (includes guide to related constants).
Sequence in context: A374772 A019858 A289032 * A225408 A109134 A075778
KEYWORD
nonn,cons,easy
AUTHOR
Clark Kimberling, Jul 14 2017
STATUS
approved