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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Language: | English |
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Wiley
2012-01-01
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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. |
format | Article |
id | doaj-art-699069ba49ed426ca6b26d3bf46553d6 |
institution | Kabale University |
issn | 1026-0226 1607-887X |
language | English |
publishDate | 2012-01-01 |
publisher | Wiley |
record_format | Article |
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 |
work_keys_str_mv | AT bahramahmadi ontheperiodsof2stepgeneralfibonaccisequencesinthegeneralizedquaterniongroups AT hosseindoostie ontheperiodsof2stepgeneralfibonaccisequencesinthegeneralizedquaterniongroups |