ON THE DOUBLE PELL SEQUENCES

摘要

In this paper, we define the double Pell sequence and extend it to groups and rings. Then we examine the behaviour of the periods of the double Pell sequences in finite 2-generator groups and rings. Also, we give the lenghts of the periods of the double Pell sequences in the generalized quaternion group Q2n and the ring F for the generating pair (a, b) as applications of the results obtained.