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Periods of a New Sequence Modulo p

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Computer Science for Environmental Engineering and EcoInformatics (CSEEE 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 158))

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Abstract

In this paper, we discuss the basic definitions and existing conclusion about periodicity of the new sequence {U n} and the twin Fibonacci sequence. Properties of the sequence {U n} are discussed, including some exact division properties of the sequence {U n} taken modulo p, which provides necessary mathematical support for further studying the properties of the Twin Fibonacci sequence and the upper bound of the least module period for 3-dimensional Arnold transformation taken modulo p.

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Author information

Authors and Affiliations

  1. State Key Lab of Integrated Service Networks, Xidian University, Xi’an, 710071, China

    Yong-jiang Li, Jian-hua Ge & A-jin Zou

  2. Schools of Information, Guangdong Ocean University, Zhanjiang, 524088, China

    Yong-jiang Li

  3. Henan Yu-tong Information Technology Co., Ltd., Zhengzhou, 450003, China

    Zhi-lin Sun

Authors
  1. Yong-jiang Li
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  2. Jian-hua Ge
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  3. Zhi-lin Sun
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  4. A-jin Zou
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Editor information

Editors and Affiliations

  1. Dalian University of Technology, Dalian, China

    Yuanxu Yu

  2. Kunming University of Science and Technology, Kunming, China

    Zhengtao Yu

  3. International Association for Scientific and High Technology, Kunming, China

    Jingying Zhao

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© 2011 Springer-Verlag Berlin Heidelberg

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Li, Yj., Ge, Jh., Sun, Zl., Zou, Aj. (2011). Periods of a New Sequence Modulo p . In: Yu, Y., Yu, Z., Zhao, J. (eds) Computer Science for Environmental Engineering and EcoInformatics. CSEEE 2011. Communications in Computer and Information Science, vol 158. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22694-6_26

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  • DOI: https://doi.org/10.1007/978-3-642-22694-6_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22693-9

  • Online ISBN: 978-3-642-22694-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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