The \(k\)-Fibonacci matrix and the Pascal matrix

DOI10.2478/S11533-011-0089-9zbMath1285.11055OpenAlexW2006469504MaRDI QIDQ651288

Sergio Falcon

Publication date: 12 December 2011

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-011-0089-9

zbMATH Keywords

factorizationPascal matrix\(k\)-Fibonacci numbers\(k\)-Fibonacci matrices

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrices of integers (15B36) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Matrices, determinants in number theory (11C20)

Related Items (6)

Some properties of convolved \(k\)-Fibonacci numbers ⋮ An application of the \(t\)-extension of the \(p\)-Fibonacci Pascal matrix in coding theory ⋮ Incomplete \(k\)-Fibonacci and \(k\)-Lucas numbers ⋮ Factorization of the $t$-extension of the $p$-Fibonacci and the Pascal matrices ⋮ A common generalization of convolved generalized Fibonacci and Lucas polynomials and its applications ⋮ On convolved generalized Fibonacci and Lucas polynomials

Cites Work

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• Some combinatorial identities via Fibonacci numbers
• The linear algebra of the \(k\)-Fibonacci matrix.
• A factorization of the symmetric Pascal matrix involving the Fibonacci matrix
• On the Fibonacci \(k\)-numbers
• The \(k\)-Fibonacci sequence and the Pascal 2-triangle
• Pascal's Matrices
• On the generating matrices of the Κ-Fibonacci numbers
• The linear algebra of the generalized Pascal matrix
• On the \(k\)-generalized Fibonacci matrix \(Q_k\)

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