A three by three Pascal matrix representations of the generalized Fibonacci and Lucas sequences

DOI10.15672/hujms.481026zbMath1488.11041OpenAlexW3037623221MaRDI QIDQ5163734

Fikri Köken

Publication date: 8 November 2021

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15672/hujms.481026

zbMATH Keywords

Pascal matricesgeneralized Fibonacci and Lucas sequencesgeneralized Fibonacci and Lucas matrices

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Matrices, determinants in number theory (11C20)

Uses Software

• mftoolbox

Cites Work

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• Sums of products of two reciprocal Fibonacci numbers
• A Two-by-Two Matrix Representation of a Generalized Fibonacci Sequence
• Fibonacci properties by matrix methods
• Combinatorial Identities Deriving From The $N$-th Power Of A $2\Times 2$ Matrix
• SUMS OF PRODUCTS OF GENERALIZED FIBONACCI AND LUCAS NUMBERS
• Fibonacci, and Lucas Pascal Triangles
• On $k$-Fibonacci sums by matrix methods
• Functions of Matrices
• PROPERTIES OF ODD AND EVEN TERMS OF THE FIBONACCI SEQUENCE
• Powers of a matrix and combinatorial identities
• The linear algebra of the generalized Pascal matrix

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