A293678 a(n) is the least integer k such that k/Fibonacci(n) > Pi.

0, 4, 4, 7, 10, 16, 26, 41, 66, 107, 173, 280, 453, 732, 1185, 1917, 3101, 5018, 8118, 13135, 21253, 34388, 55641, 90029, 145670, 235698, 381368, 617066, 998433, 1615499, 2613931, 4229429, 6843360, 11072789, 17916148, 28988937, 46905085, 75894021, 122799105

Offset

0,2

Links

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

Formula

a(n) = ceiling(Pi*Fibonacci(n)).

a(n) = A293677(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}];   (* A293679 *)

Crossrefs

Cf. A000045, A000796, A293677, A293679.

Sequence in context: A212532 A109544 A187893 * A063984 A357270 A347060

Adjacent sequences: A293675 A293676 A293677 * A293679 A293680 A293681

Keyword

nonn,easy

Author

Clark Kimberling, Oct 16 2017

Status

approved