Calculating terms of associated polynomials of Perrin and Cordonnier numbers

Kenan Kaygısız and Adem Şahin
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 20, 2014, Number 1, Pages 10–18
Full paper (PDF, 150 Kb)

Details

Authors and affiliations

Kenan Kaygısız
Department of Mathematics, Faculty of Arts and Sciences
Gaziosmanpaşa University, 60250 Tokat, Turkey
Corresponding author (+903562521616-3087)

Adem Şahin
Department of Mathematics, Faculty of Arts and Sciences
Gaziosmanpaşa University, 60250 Tokat, Turkey

Abstract

In this paper, we calculate terms of associated polynomials of Perrin and Cordonnier numbers by using determinants and permanents of various Hessenberg matrices. Since these polynomials are general forms of Perrin and Cordonnier numbers, our results are valid for the Perrin and Cordonnier numbers.

Keywords

• Perrin and Cordonnier numbers
• Associated polynomial of Perrin and Cordonnier numbers
• Hessenberg matrix
• Determinant
• Permanent

AMS Classification

• Primary: 11B37, 15A15
• Secondary: 15A51

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