login
A289913
Decimal expansion of the limiting ratio of consecutive terms of A289912.
2
1, 8, 7, 8, 3, 1, 9, 9, 8, 2, 6, 4, 7, 6, 2, 0, 1, 7, 3, 5, 0, 4, 7, 6, 9, 5, 0, 3, 8, 8, 6, 7, 6, 3, 4, 2, 0, 2, 8, 7, 5, 0, 7, 5, 9, 9, 5, 0, 8, 7, 2, 9, 0, 0, 8, 5, 9, 1, 4, 7, 9, 3, 0, 9, 7, 7, 0, 4, 5, 9, 6, 8, 1, 2, 1, 1, 3, 6, 5, 0, 2, 3, 4, 4, 9, 1
OFFSET
1,2
EXAMPLE
1.87831998264762017350476950388676342028750759950872900...
MATHEMATICA
z = 100; r = Sqrt[2];
u = CoefficientList[Series[1/Sum[Round[(k + 1)*r] (-x)^k, {k, 0, z}], {x, 0, z}],
x]; (* A289912 *)
v = N[u[[z]]/u[[z - 1]], 200]
d = RealDigits[v, 10][[1]] (* A289913 *)
CROSSREFS
Cf. A078140 (includes guide to related constants), A289912.
Sequence in context: A327854 A263179 A180311 * A103984 A203914 A037077
KEYWORD
nonn,cons,easy
AUTHOR
Clark Kimberling, Jul 18 2017
STATUS
approved