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On identities with multinomial coefficients for Fibonacci-Narayana sequence

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
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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