Title
On Hessenberg and pentadiagonal determinants related with Fibonacci and Fibonacci-like numbers
Abstract
In this paper, we establish several new connections between the generalizations of Fibonacci and Lucas sequences and Hessenberg determinants. We also give an interesting conjecture related to the determinant of an infinite pentadiagonal matrix with the classical Fibonacci and Gaussian Fibonacci numbers.
Year
DOI
Venue
2014
10.1016/j.amc.2013.12.071
Applied Mathematics and Computation
Keywords
Field
DocType
pentadiagonal determinant,fibonacci-like number,hessenberg determinant,new connection,interesting conjecture,gaussian fibonacci number,classical fibonacci,infinite pentadiagonal matrix,lucas sequence,fibonacci numbers
Combinatorics,Lucas sequence,Generalization,Gaussian,Pisano period,Pentadiagonal matrix,Conjecture,Mathematics,Fibonacci polynomials,Fibonacci number
Journal
Volume
ISSN
Citations 
229,
0096-3003
1
PageRank 
References 
Authors
0.38
6
2
Name
Order
Citations
PageRank
Ahmet Ipek171.82
Kamil Arı210.38