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A288238
Decimal expansion of the limiting ratio of consecutive terms of A288135.
2
1, 9, 9, 9, 9, 8, 8, 5, 5, 4, 7, 9, 4, 8, 1, 5, 9, 6, 3, 1, 6, 3, 3, 9, 9, 2, 0, 4, 3, 6, 5, 1, 5, 5, 8, 8, 8, 3, 7, 2, 5, 9, 5, 2, 0, 5, 9, 9, 3, 0, 1, 5, 9, 0, 8, 8, 9, 0, 7, 6, 5, 9, 4, 2, 9, 8, 1, 6, 3, 1, 5, 6, 1, 5, 3, 9, 0, 2, 8, 0, 4, 7, 4, 4, 0, 7
OFFSET
1,2
EXAMPLE
1.99998855479481596316339920436515588837259520599...
MATHEMATICA
z = 2000; r = Sqrt[7/3];
u = CoefficientList[Series[1/Sum[Floor[(k + 1)*r] (-x)^k, {k, 0, z}], {x, 0, z}], x]; (* A288135 *)
v = N[u[[z]]/u[[z - 1]], 200]
RealDigits[v, 10][[1]](* A288238 *)
CROSSREFS
Cf. A288135, A078140 (includes guide to related constants).
Sequence in context: A346436 A346583 A346570 * A100547 A259150 A292826
KEYWORD
nonn,cons,easy
AUTHOR
Clark Kimberling, Jul 11 2017
STATUS
approved