A293677 a(n) is the greatest integer k such that k/Fibonacci(n) < Pi.

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

Clark Kimberling, Table of n, a(n) for n = 0..1000

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

Cf. A000045, A000796, A293678, A293679.

Sequence in context: A355906 A022086 A097135 * A293679 A274498 A167786

Adjacent sequences: A293674 A293675 A293676 * A293678 A293679 A293680

Keyword

nonn,easy

Author

Clark Kimberling, Oct 16 2017

Status

approved