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Dergiler / 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)
Sayfa
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Yayın Tarihi
2024-04-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This paper introduces two new integer sequences that are the third-order recurrence relations.
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Temel Bulgular & Veri:These are called Jacobsthal–Narayana and Jacobsthal-Lucas-Narayana sequences.
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Sonuç & Katkı:Finally, we consider the circulant matrix whose entries are Jacobsthal–Narayana sequence and present an appropriate formula to find eigenvalues of that matrix.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (14)

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