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Journals / Konuralp Journal of Mathematics / 2026 / Volume: 12 Issue: 1

On Jacobsthal–Narayana and Jacobsthal-Narayana-Lucas Sequences

Seyyed Hossein Jafari Petroudi(Payame Noor University)0000-0003-4127-9215
Ahmet Daşdemir(kastamonu üniversitesi)0000-0001-8352-2020
Maryam Pirouz(Guilan University)
Pages
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Publication Date
2024-04-30
DOI
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AI Summary & Key Takeaways

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

Finally, we consider the circulant matrix whose entries are Jacobsthal–Narayana sequence and present an appropriate formula to find eigenvalues of that matrix.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper introduces two new integer sequences that are the third-order recurrence relations.
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Key Findings & Data:These are called Jacobsthal–Narayana and Jacobsthal-Lucas-Narayana sequences.
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Conclusion & Impact:Finally, we consider the circulant matrix whose entries are Jacobsthal–Narayana sequence and present an appropriate formula to find eigenvalues of that matrix.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Binet formula · Circulant matrix · Jacobsthal–Narayana sequence

Abstract

This paper introduces two new integer sequences that are the third-order recurrence relations. These are called Jacobsthal–Narayana and Jacobsthal-Lucas-Narayana sequences. In particular, great attention is focused on the identification of the Binet type representations for our new sequence, including the generating functions, some important identities, and generating matrix. Finally, we consider the circulant matrix whose entries are Jacobsthal–Narayana sequence and present an appropriate formula to find eigenvalues of that matrix.

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Cite This Article

Petroudi, S. H. J., Daşdemir, A., Pirouz, M. (2024). On Jacobsthal–Narayana and Jacobsthal-Narayana-Lucas Sequences. Konuralp Journal of Mathematics, Volume: 12 Issue: 1. https://ajindex.com/articles/1521503

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