- Turkish Journal of Science
- Vol: 6 Issue: 3
- The Period and Rank of the Complex-type Padovan-p Numbers Modulo m
The Period and Rank of the Complex-type Padovan-p Numbers Modulo m
Authors : Ömür DEVECİ, Özgür ERDAĞ
Pages : 156-161
View : 9 | Download : 3
Publication Date : 2021-12-30
Article Type : Research
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.