Title of article :
Lower k-Hessenberg Matrices and k-Fibonacci, Fibonacci-p and Pell (p; i) Numbers
Author/Authors :
Fonseca ، Carlos M. da - Kuwait University , Sogabe ، Tomohiro - Nagoya University , Yilmaz ، Fatih - Gazi University
Abstract :
In this work, we define a family of sparse Hessenberg matrices whose perma- nents lead us to k-Fibonacci, Fibonacci-p and Pell (p,i) numbers. Furthermore, we show that it contains some well-known general number sequences in it. We provide a Maple 13 source code describing the contraction steps.
Keywords :
Determinant , Fibonacci , p and Pell (p , i) numbers , Hessenberg matrix , k , Fibonacci numbers , Permanent
Journal title :
General Mathematics Notes
Journal title :
General Mathematics Notes
