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A293679 a(n) is the integer k that minimizes |k/Fibonacci(n) - Pi|. 3
0, 3, 3, 6, 9, 16, 25, 41, 66, 107, 173, 280, 452, 732, 1184, 1916, 3101, 5017, 8118, 13135, 21253, 34388, 55641, 90029, 145669, 235698, 381367, 617065, 998433, 1615498, 2613931, 4229429, 6843360, 11072788, 17916148, 28988936, 46905084, 75894020, 122799105 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

FORMULA

a(n) = floor(1/2 + Pi*Fibonacci(n)).

a(n) = A293677(n) if (fractional part of Pi*Fibonacci(n)) < 1/2, otherwise a(n) = A293678(n).

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, A293678.

Sequence in context: A022086 A097135 A293677 * A274498 A167786 A167787

Adjacent sequences:  A293676 A293677 A293678 * A293680 A293681 A293682

KEYWORD

nonn,easy,base,changed

AUTHOR

Clark Kimberling, Oct 16 2017

STATUS

approved

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Last modified February 20 02:47 EST 2018. Contains 299357 sequences. (Running on oeis4.)