A New Like Fibonacci Sequence and Its Properties

Author

Li, Yong-Jiang ; Li, Chang-Li ; Ge, Jian-Hua ; Sun, Zhi-Lin

Author_Institution

State Key Lab. of Integrated Service Networks, Xidian Univ., Xi´´an, China

fYear

2010

fDate

27-28 Nov. 2010

Firstpage

1

Lastpage

4

Abstract

The Twin Fibonacci sequences are first defined and their linear expressions are given in this paper.The sequence{U_n} which is constituted by the matrix eigenvalues is defined and a discussion is given to its properties,including some exact division properties of the sequence{U_n} taken modulo m,and the theorem on the least period for module sequence{u_n(p^r)} is shown. Moreover,the relationship theorem between the module sequence of the sequence{U_n} about m and that for the Twin Fibonacci sequence is given in the paper,providing necessary mathematical support for further studying the properties of the Twin Fibonacci sequence.

Keywords

Fibonacci sequences; cryptography; data encapsulation; eigenvalues and eigenfunctions; image watermarking; matrix algebra; image encryption; image information hiding; image scrambling; matrix eigenvalue; module sequence; modulo m; transformation; twin Fibonacci sequence; {U_n} sequence; Artificial neural networks; Eigenvalues and eigenfunctions; Intserv networks; Mathematical model; Polynomials; Presses;

fLanguage

English

Publisher

ieee

Conference_Titel

Database Technology and Applications (DBTA), 2010 2nd International Workshop on

Conference_Location

Wuhan

Print_ISBN

978-1-4244-6975-8

Electronic_ISBN

978-1-4244-6977-2

Type

conf

DOI

10.1109/DBTA.2010.5658925

Filename

5658925