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Title: k-Fibonacci sequences modulo m
Authors: Falcon, Sergio 
Plaza, Ángel 
UNESCO Clasification: 120504 Teoría elemental de los números
Keywords: 2-Slit Experiment
Golden Section
Issue Date: 2009
Project: Mtm2005-08441-C02-02. Particiones Triangulares y Algoritmos de Refinamiento 
Journal: Chaos, Solitons and Fractals 
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).
ISSN: 0960-0779
DOI: 10.1016/j.chaos.2008.02.014
Source: Chaos, Solitons and Fractals [ISSN 0960-0779], v. 41 (1), p. 497-504
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