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

Year 2021, Volume: 6 Issue: 3, 156 - 161, 30.12.2021

Ömür Deveci , Özgür Erdağ

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.

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