login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A175561 Period length of the decimal representation of 1/Fibonacci(n). 1
1, 1, 1, 1, 6, 6, 16, 2, 44, 1, 232, 84, 60, 138, 133, 144, 336, 10, 420, 396, 1580, 66, 1500, 733, 908, 84, 803, 60, 1546, 1060, 675, 1511, 1228, 1172, 325, 363, 566, 30, 1935, 420, 1237, 1402, 834, 118, 76, 1547, 1148, 1500, 985, 956, 509, 489, 614, 907 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,5

COMMENTS

With regard to the sequence A175550, where the period of 1/Fibonacci(n)) is concerned by the Fibonacci numbers such that gcd(Fibonacci (n),10) =1 only, this sequence is complete.

LINKS

Table of n, a(n) for n=3..56.

FORMULA

a(n) = A007732(A000045(n)).

EXAMPLE

a(8) = 6 because Fibonacci(8) = 21, and 1/21 = .047619 047619 047619 047619 ... => period = 6;

a(9) = 16 because Fibonacci(9) = 34, and 1/34 = .02941176470588235 2941176470588235 2941176470588235 ... => period = 16

CROSSREFS

Cf. A175550, A000045, A175562.

Sequence in context: A290931 A257372 A058563 * A341202 A315810 A315811

Adjacent sequences:  A175558 A175559 A175560 * A175562 A175563 A175564

KEYWORD

nonn,base

AUTHOR

Michel Lagneau, Jul 02 2010

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 January 22 05:19 EST 2022. Contains 350481 sequences. (Running on oeis4.)