The Period and Rank of the Complex-type Padovan-p Numbers Modulo m

Authors : Ömür DEVECİ, Özgür ERDAĞ

Pages : 156-161

View : 15 | Download : 8

Publication Date : 2021-12-30

Article Type : Research Paper

Abstract :In this paper, we study the complex-type Padovan-p sequence modulo m and then we give some results concerning the periods and the ranks of these sequences for any p and m. Furthermore, we produce the cyclic groups using the multiplicative orders of the generating matrices of the complex-type Padovan-p sequences when read modulo m. Finally, we give the relationships between the periods of the complex-type Padovan-p sequences modulo m and the orders of the cyclic groups produced.
Keywords : The complex type Padovan p sequence, Modulo, Period, Rank