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A289003
Decimal expansion of the limiting ratio of consecutive terms of A288234.
2
1, 7, 5, 5, 2, 0, 2, 4, 8, 4, 6, 1, 4, 3, 8, 4, 6, 1, 3, 4, 8, 9, 8, 8, 1, 0, 5, 0, 7, 7, 5, 5, 3, 3, 4, 1, 3, 4, 4, 4, 3, 6, 6, 6, 5, 3, 2, 4, 1, 1, 3, 7, 4, 5, 8, 2, 9, 2, 8, 1, 2, 4, 8, 2, 4, 4, 4, 5, 5, 7, 4, 5, 3, 3, 4, 0, 5, 0, 0, 7, 2, 6, 9, 0, 3, 7
OFFSET
1,2
EXAMPLE
1.755202484614384613489881050775533413444366653241137458292812482444...
MATHEMATICA
z = 2000; r = -1 + Sqrt[7];
u = CoefficientList[Series[1/Sum[Floor[(k + 1)*r] (-x)^k, {k, 0, z}], {x, 0, z}], x]; (* A288234 *)
v = N[u[[z]]/u[[z - 1]], 200]
RealDigits[v, 10][[1]](* A289003 *)
CROSSREFS
Cf. A288234, A078140 (includes guide to related constants).
Sequence in context: A010510 A258042 A340710 * A295219 A138313 A138312
KEYWORD
nonn,cons,easy
AUTHOR
Clark Kimberling, Jul 14 2017
STATUS
approved