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Journals / Konuralp Journal of Mathematics / 2019 / Volume: 7 Issue: 2

The Unifying Formula for all Tribonacci-type Octonions Sequences and Their Properties

Gamaliel Cerda-morales(Pontificia Universidad Católica de Valparaíso)
Pages
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Publication Date
2019-10-15
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We derive the relations between generalized Tribonacci numbers and Tribonacci octonions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Various families of octonion number sequences (such as Fibonacci octonion, Pell octonion and Jacobsthal octonion) have been established by a number of authors in many different ways.
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Key Findings & Data:In addition, formulas and identities involving these number sequences have been presented.
💡
Conclusion & Impact:We derive the relations between generalized Tribonacci numbers and Tribonacci octonions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Tribonacci number · generalized Tribonacci number · Tribonacci octonion

Abstract

Various families of octonion number sequences (such as Fibonacci octonion, Pell octonion and Jacobsthal octonion) have been established by a number of authors in many different ways. In addition, formulas and identities involving these number sequences have been presented. In this paper, we aim to establishing new classes of octonion numbers associated with the generalized Tribonacci numbers. In this sense, we introduce the Tribonacci and generalized Tribonacci octonions (such as Narayana octonion, Padovan octonion and third-order Jacobsthal octonion) and give some of their properties. We derive the relations between generalized Tribonacci numbers and Tribonacci octonions.

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Cite This Article

Cerda-morales, G. (2019). The Unifying Formula for all Tribonacci-type Octonions Sequences and Their Properties. Konuralp Journal of Mathematics, Volume: 7 Issue: 2. https://ajindex.com/articles/1521700

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