k-Fibonacci sequences modulo m
Abstract
We study here the period-length of the k-Fibonacci sequences taken modulo m. The period of such cyclic sequences is know as Pisano period, and the period-length is denoted by πk (m) . It is proved that for every odd number k, πk (k2 + 4) = 4 (k2 + 4) .
- Publication:
-
Chaos Solitons and Fractals
- Pub Date:
- July 2009
- DOI:
- 10.1016/j.chaos.2008.02.014
- Bibcode:
- 2009CSF....41..497F