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