Discrete Dynamics in Nature and Society
Volume 2011 (2011), Article ID 431840, 12 pages
http://dx.doi.org/10.1155/2011/431840
Research Article

The Polytopic- 𝑘 -Step Fibonacci Sequences in Finite Groups

Ömür Deveci

Department of Mathematics, Faculty of Art and Science, Kafkas University, 36100 Kars, Turkey

Received 22 May 2011; Revised 26 July 2011; Accepted 27 July 2011

Academic Editor: Binggen Zhang

Copyright © 2011 Ömür Deveci. 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 the polytopic- 𝑘 -step Fibonacci sequences, the polytopic- 𝑘 -step Fibonacci sequences modulo 𝑚 , and the polytopic- 𝑘 -step Fibonacci sequences in finite groups. Also, we examine the periods of the polytopic- 𝑘 -step Fibonacci sequences in semidihedral group S D 2 𝑚 .