Goy, Taras (2018) On identities with multinomial coefficients for Fibonacci-Narayana sequence. Annales Mathematicae et Informaticae, 49. pp. 75-84. ISSN 1787-6117
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Abstract
In this paper we study some families of Toeplitz-Hessenberg determinants the entries of which are Fibonacci-Narayana (or Narayana’s cows) numbers. This leads to discover some identities for these numbers. In particular, we establish connection between Fibonacci-Narayana numbers with Fibonacci and tribonacci numbers. We also present new formulas for Fibonacci-Narayana numbers via recurrent determinants of four-diagonal matrix. Keywords: Fibonacci-Narayana sequence, Narayana’s cow sequence, Toeplitz- Hessenberg matrix, Fibonacci sequence, tribonacci sequence. MSC: AMS classification 11B39, 15B05.
| Item Type: | Article |
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| Uncontrolled Keywords: | Fibonacci-Narayana sequence, Narayana’s cow sequence, Toeplitz- Hessenberg matrix, Fibonacci sequence, tribonacci sequence |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Tibor Gál |
| Date Deposited: | 26 Jan 2019 12:37 |
| Last Modified: | 05 Apr 2023 07:56 |
| URI: | http://real.mtak.hu/id/eprint/90532 |
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