Unrestricted Tribonacci and Tribonacci-Lucas quaternions

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Date

2023

Journal Title

Journal ISSN

Volume Title

Publisher

Bulgarian Acad Science

Access Rights

info:eu-repo/semantics/openAccess

Abstract

We define a generalization of Tribonacci and Tribonacci-Lucas quaternions with arbitrary Tribonacci numbers and Tribonacci-Lucas numbers coefficients, respectively. We get generating functions and Binet's formulas for these quaternions. Furthermore, several sum formulas and a matrix representation are obtained.

Description

Keywords

Quaternion; Recurrences; Integer sequences

Journal or Series

Notes on Number Theory and Discrete Mathematics

WoS Q Value

Q4

Scopus Q Value

Volume

29

Issue

2

Citation