A new method to compute the terms of generalized order-\(k\) Fibonacci numbers

DOI10.1016/j.jnt.2013.03.007zbMath1295.11017OpenAlexW2044281344WikidataQ114157575 ScholiaQ114157575MaRDI QIDQ740857

Adem Şahın, Kenan Kaygisiz

Publication date: 9 September 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2013.03.007

zbMATH Keywords

Fibonacci numbersHessenberg matrix\(k\) sequences of the generalized order-\(k\) Fibonacci numbers

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (5)

Determinantal and permanental representations of Fibonacci type numbers and polynomials ⋮ A common generalization of convolved generalized Fibonacci and Lucas polynomials and its applications ⋮ Determinantal and permanental representations of convolved Lucas polynomials ⋮ Some identities of the generalized Fibonacci and Lucas sequences ⋮ Unnamed Item

Cites Work

• A new algorithm for computing the inverse and the determinant of a Hessenberg matrix
• Determinants and permanents of Hessenberg matrices and generalized Lucas polynomials
• Hessenberg matrices and the Pell and Perrin numbers
• \(k\)-Lucas numbers and associated bipartite graphs
• On the representation of \(k\)-generalized Fibonacci and Lucas numbers
• Generalized Fibonacci Numbers and Associated Matrices
• Counting Determinants of Fibonacci–Hessenberg Matrices Using LU Factorizations
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