The Generalized Order-k Lucas Sequences in Finite Groups

We study the generalized order-k Lucas sequences modulo m. Also, we define the ith generalized order-k Lucas orbit lAi,{α1,α2,…,αk-1}(G) with respect to the generating set A and the constants α1,α2, and αk-1 for a finite group G=〈A〉. Then, we obtain the lengths of the periods of the ith generalize...

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Bibliographic Details
Main Authors: Ömür Deveci, Erdal Karaduman
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/464580