k-Fibonacci sequences modulo m

Sergio Falcon and Ángel Plaza

Chaos, Solitons & Fractals, 2009, vol. 41, issue 1, 497-504

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).

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:1:p:497-504

DOI: 10.1016/j.chaos.2008.02.014

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