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A293677
a(n) is the greatest integer k such that k/Fibonacci(n) < Pi.
3
0, 3, 3, 6, 9, 15, 25, 40, 65, 106, 172, 279, 452, 731, 1184, 1916, 3100, 5017, 8117, 13134, 21252, 34387, 55640, 90028, 145669, 235697, 381367, 617065, 998432, 1615498, 2613930, 4229428, 6843359, 11072788, 17916147, 28988936, 46905084, 75894020, 122799104
OFFSET
0,2
LINKS
FORMULA
a(n) = floor(Pi*Fibonacci(n)).
a(n) = A293678(n) - 1 for n > 0.
MATHEMATICA
z = 120; f[n_] := Fibonacci[n];
Table[Floor[Pi*f[n]], {n, 0, z}]; (* A293677 *)
Table[Ceiling[Pi*f[n]], {n, 0, z}]; (* A293678 *)
Table[Round[Pi*f[n]], {n, 0, z}]; (* A293696 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Oct 16 2017
STATUS
approved