• 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

  • Pages
    8
  • From page
    10
  • To page
    17
  • 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
  • Serial Year
    2015
  • Journal title
    General Mathematics Notes
  • Record number

    2457791

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2457791