The Hadamard-type Padovan-p Sequences

Year 2020, Volume: 5 Issue: 2, 102 - 109, 31.10.2020

Yeşim Aküzüm

https://izlik.org/JA67JE46WU

Abstract

In this paper, we define the Hadamard-type Padovan-p sequence by using the Hadamard-type product of characteristic polynomials of the Padovan sequence and the Padovan-p sequence. Also, we derive the generating matrices for these sequences. Then using the roots of characteristic polynomial of the Hadamard-type Padovan-p sequence, we produce the Binet formula for the Hadamard-type Padovan-p numbers. Also, we give the permanental, determinantal, combinatorial, exponential representations and the sums of the Hadamard-type Padovan-p numbers.

Keywords

The Hadamard product , The Padovan-p sequence , Matrix , Representation

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