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Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 458964, 8 pages
doi:10.1155/2012/458964
Research Article
On the Periods of 2-Step General Fibonacci Sequences in the Generalized Quaternion Groups
Department of Mathematics, Science and Research Branch, Islamic Azad University,
P.O. Box 14515-1775, Tehran 14778-93855, Iran
Received 12 October 2012; Accepted 3 December 2012
Academic Editor: Carlo Piccardi
Copyright © 2012 Bahram Ahmadi and Hossein Doostie. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We study 2-step general Fibonacci sequences in the generalized quaternion groups . In cases where the sequences are proved to be simply periodic, we obtain the periods of 2-step general Fibonacci sequences.