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Generalized Fibonacci Series Considered modulo n
Linnaeus University, Faculty of Technology, Department of Mathematics.
2013 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

In this thesis we are investigating identities regarding Fibonacci sequences. In particular we are examiningthe so called Pisano period, which is the period for the Fibonacci sequence considered modulo n to repeatitself. The theory shows that it suces to compute Pisano periods for primes. We are also looking atthe same problems for the generalized Pisano period, which can be described as the Pisano period forthe generalized Fibonacci sequence.

Place, publisher, year, edition, pages
2013. , 25 p.
Keyword [en]
Fibonacci numbers, Pisano period, Tribonacci numbers, Number sequence
National Category
Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-26844OAI: oai:DiVA.org:lnu-26844DiVA: diva2:630928
Subject / course
Mathematics
Supervisors
Examiners
Available from: 2013-06-20 Created: 2013-06-19 Last updated: 2013-06-20Bibliographically approved

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CiteExportLink to record
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