The k-nacci Sequences and The Generalized order-k Pell Sequences in The Semi-Direct Product of Finite Cyclic Groups
Ömür DEVECİ* Author for corresponding; e-mail address: odeveci36@hotmail.com
Volume :Vol.40 No.1 (JANUARY 2013)
Research Article
DOI:
Received: 24 June 2011, Revised: -, Accepted: 9 March 2012, Published: -
Citation: DevecÄ° Ã., The k-nacci Sequences and The Generalized order-k Pell Sequences in The Semi-Direct Product of Finite Cyclic Groups, Chiang Mai Journal of Science, 2013; 40(1): 89-98.
Abstract
Let be a prime and be a semi-direct product by where and both cyclic groups of order and , respectively. This paper discusses the periods of the k-nacci sequences and the generalized order-k Pell sequences in the group for and .
Keywords:
Period, k-nacci sequence, generalized order-k Pell sequence, cyclic group, emi-direct product