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Eurasian Mathematical Journal, 2018, Volume 9, Number 4, Pages 61–67
DOI: https://doi.org/10.32523/2077-9879-2018-9-4-61-67 (Mi emj311) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On determinants and permanents of some Toeplitz–Hessenberg matrices whose entries are Jacobsthal numbers

T. Goy

Faculty of Mathematics and Computer Sciences, Vasyl Stefanyk Precarpathian National University, 57 Shevchenko St., 76018 Ivano-Frankivsk, Ukraine
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DOI: https://doi.org/10.32523/2077-9879-2018-9-4-61-67
Abstract: In this paper, we study some families of Toeplitz–Hessenberg determinants and permanents the entries of which are Jacobsthal numbers. These studies have led us to discover new identities for Jacobsthal numbers.
Keywords and phrases: Jacobsthal sequence, Toeplitz–Hessenberg matrix, determinant, permanent, multinomial coefficient.
Received: 29.11.2016
Revised: 21.07.2018
Bibliographic databases:
Document Type: Article
MSC: 15B36, 11B37, 11B05
Language: English
Citation: T. Goy, “On determinants and permanents of some Toeplitz–Hessenberg matrices whose entries are Jacobsthal numbers”, Eurasian Math. J., 9:4 (2018), 61–67
Citation in format AMSBIB
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\paper On determinants and permanents of some Toeplitz--Hessenberg matrices whose entries are Jacobsthal numbers
\jour Eurasian Math. J.
\yr 2018
\vol 9
\issue 4
\pages 61--67
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