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

Taras Goy

doi:10.32523/2077-9879-2018-9-4-61-67

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

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Authors

Taras Goy

DOI:

https://doi.org/10.32523/2077-9879-2018-9-4-61-67

Keywords:

Jacobsthal sequence, Toeplitz-Hessenberg matrix, determinant, permanent, multinomial coefficient

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.

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Published

2018-12-30

How to Cite

Goy, T. (2018). On determinants and permanents of some Toeplitz-Hessenberg matrices whose entries are Jacobsthal numbers. Eurasian Mathematical Journal, 9(4), 61–67. https://doi.org/10.32523/2077-9879-2018-9-4-61-67