Soykan, Yüksel (2023) Generalized Olivier Numbers. Asian Research Journal of Mathematics, 19 (1). pp. 1-22. ISSN 2456-477X
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Abstract
In this paper, we introduce and investigate the generalized Olivier sequences and we deal with, in detail, two special cases, namely, Olivier and Olivier-Lucas sequences. We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these sequences. We also provide various
matrices and identities associated with these sequences. Furthermore, we show that there are close relations between Olivier, Olivier-Lucas and adjusted Pell-Padovan, third order Lucas-Pell, third order Fibonacci-Pell, Pell-Perrin, Pell-Padovan numbers. Moreover, we give some identities and matrices related with these sequences.
| Item Type: | Article |
|---|---|
| Subjects: | STM Library > Mathematical Science |
| Depositing User: | Managing Editor |
| Date Deposited: | 23 Jan 2023 07:03 |
| Last Modified: | 06 Feb 2024 04:15 |
| URI: | http://open.journal4submit.com/id/eprint/1641 |
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