Determinantal and permanental representations of companion sequences associated to the r-Fibonacci sequence
- 14 February 2022
- journal article
- research article
- Published by Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences) in Notes on Number Theory and Discrete Mathematics
- Vol. 28 (1), 64-74
- https://doi.org/10.7546/nntdm.2022.28.1.64-74
Abstract
Recently companion sequences of r-Fibonacci sequence were defined. The aim of this paper is to give some determinantal and permanental representations of these sequences via Hessenberg matrices. Several representations of classical sequences and polynomials are established. We conclude by using our representations to give n consecutive terms of companion sequences simultaneously.Keywords
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