kFibonacci sequences modulo m
Abstract
We study here the periodlength of the kFibonacci sequences taken modulo m. The period of such cyclic sequences is know as Pisano period, and the periodlength is denoted by π_{k} (m) . It is proved that for every odd number k, π_{k} (k^{2} + 4) = 4 (k^{2} + 4) .
 Publication:

Chaos Solitons and Fractals
 Pub Date:
 July 2009
 DOI:
 10.1016/j.chaos.2008.02.014
 Bibcode:
 2009CSF....41..497F