A175561 Period of the decimal representation of 1/Fibonacci(n).

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

Offset

3,5

Comments

With regard to A175550, where the period of 1/Fibonacci(n) is concerned with 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 = 0. 047619 047619 047619 047619 ... => period = 6;
a(9) = 16 because Fibonacci(9) = 34, and 1/34 = 0.0 2941176470588235 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