On properties of generalized Tridovan numbers

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SOYKAN Y., ÖZMEN N., OKUMUŞ İ.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, sa.3, ss.571-588, 2023 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Basım Tarihi: 2023
• Doi Numarası: 10.7546/nntdm.2023.29.3.571-588
• Dergi Adı: NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
• Sayfa Sayıları: ss.571-588
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• İstanbul Üniversitesi Adresli: Hayır

Özet

In this paper, we examine generalized Tridovan sequences and treat in detail two cases called Tridovan sequences and Tridovan-Lucas sequences. We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these sequences. In addition, we give some identities and matrices related to these sequences.