On the Periods of 2-Step General Fibonacci Sequences in the Generalized Quaternion Groups

We study 2-step general Fibonacci sequences in the generalized quaternion groups Q4n. In cases where the sequences are proved to be simply periodic, we obtain the periods of 2-step general Fibonacci sequences.

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Main Authors: Bahram Ahmadi, Hossein Doostie
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2012/458964
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author Bahram Ahmadi
Hossein Doostie
author_facet Bahram Ahmadi
Hossein Doostie
author_sort Bahram Ahmadi
collection DOAJ
description We study 2-step general Fibonacci sequences in the generalized quaternion groups Q4n. In cases where the sequences are proved to be simply periodic, we obtain the periods of 2-step general Fibonacci sequences.
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institution Kabale University
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language English
publishDate 2012-01-01
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series Discrete Dynamics in Nature and Society
spelling doaj-art-699069ba49ed426ca6b26d3bf46553d62025-02-03T01:12:05ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/458964458964On the Periods of 2-Step General Fibonacci Sequences in the Generalized Quaternion GroupsBahram Ahmadi0Hossein Doostie1Department of Mathematics, Science and Research Branch, Islamic Azad University, P.O. Box 14515-1775, Tehran 14778-93855, IranDepartment of Mathematics, Science and Research Branch, Islamic Azad University, P.O. Box 14515-1775, Tehran 14778-93855, IranWe study 2-step general Fibonacci sequences in the generalized quaternion groups Q4n. In cases where the sequences are proved to be simply periodic, we obtain the periods of 2-step general Fibonacci sequences.http://dx.doi.org/10.1155/2012/458964
spellingShingle Bahram Ahmadi
Hossein Doostie
On the Periods of 2-Step General Fibonacci Sequences in the Generalized Quaternion Groups
Discrete Dynamics in Nature and Society
title On the Periods of 2-Step General Fibonacci Sequences in the Generalized Quaternion Groups
title_full On the Periods of 2-Step General Fibonacci Sequences in the Generalized Quaternion Groups
title_fullStr On the Periods of 2-Step General Fibonacci Sequences in the Generalized Quaternion Groups
title_full_unstemmed On the Periods of 2-Step General Fibonacci Sequences in the Generalized Quaternion Groups
title_short On the Periods of 2-Step General Fibonacci Sequences in the Generalized Quaternion Groups
title_sort on the periods of 2 step general fibonacci sequences in the generalized quaternion groups
url http://dx.doi.org/10.1155/2012/458964
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