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Title: | On identities with multinomial coefficients for Fibonacci-Narayana sequence |
Authors: | Гой, Тарас Петрович |
Keywords: | Fibonacci-Narayana sequence Narayana’s cow sequence Toeplitz- Hessenberg matrix Fibonacci sequence tribonacci sequence |
Issue Date: | 2018 |
Citation: | Goy, T. On identities with multinomial coefficients for Fibonacci-Narayana sequence / T. Goy // Annales Mathematicae et Informaticae. – 2018. – 49. – P. 75–84 |
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. |
URI: | http://hdl.handle.net/123456789/1940 |
Appears in Collections: | Статті та тези (ФМІ) |
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File | Description | Size | Format | |
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AMI_49_from75to84.pdf | 556.89 kB | Adobe PDF | View/Open |
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