login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A293547 a(n) is the integer k that minimizes |k/Fibonacci(n) - 2/3|. 3
0, 1, 1, 1, 2, 3, 5, 9, 14, 23, 37, 59, 96, 155, 251, 407, 658, 1065, 1723, 2787, 4510, 7297, 11807, 19105, 30912, 50017, 80929, 130945, 211874, 342819, 554693, 897513, 1452206, 2349719, 3801925, 6151643, 9953568, 16105211, 26058779, 42163991, 68222770 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (1, 1, 0, -1, 1, 1)

FORMULA

G.f.: -((x (1 - x^2 + x^4))/((-1 + x + x^2) (1 + x^4))).

a(n) = a(n-1) + a(n-2) - a(n-4) + a(n-5) + a(n-6) for n >= 7.

a(n) = floor(1/2 + 2*Fibonacci(n)/3).

a(n) = A293545(n) if (fractional part of 2*Fibonacci(n)/3) < 1/2, otherwise a(n) = A293546(n).

MATHEMATICA

z = 120; r = 2/3; f[n_] := Fibonacci[n];

Table[Floor[r*f[n]], {n, 0, z}];   (* A293545 *)

Table[Ceiling[r*f[n]], {n, 0, z}]; (* A293546 *)

Table[Round[r*f[n]], {n, 0, z}];   (* A293547 *)

CROSSREFS

Cf. A000045, A293545, A293546.

Sequence in context: A326332 A079962 A244986 * A124502 A251572 A173714

Adjacent sequences:  A293544 A293545 A293546 * A293548 A293549 A293550

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Oct 14 2017

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 21 17:54 EDT 2019. Contains 325198 sequences. (Running on oeis4.)