On properties of generalized Tridovan numbers

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SOYKAN Y., ÖZMEN N., OKUMUŞ İ.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, no.3, pp.571-588, 2023 (ESCI)

• Publication Type: Article / Article
• Publication Date: 2023
• Doi Number: 10.7546/nntdm.2023.29.3.571-588
• Journal Name: NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
• Journal Indexes: Emerging Sources Citation Index (ESCI)
• Page Numbers: pp.571-588
• Open Archive Collection: AVESIS Open Access Collection
• Istanbul University Affiliated: No

Abstract

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.