The Fibonacci p-numbers and Pascal’s triangle

DOI10.1080/23311835.2016.1264176zbMath1426.11009OpenAlexW2551382741MaRDI QIDQ4966851

Kantaphon Kuhapatanakul

Publication date: 27 June 2019

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23311835.2016.1264176

zbMATH Keywords

Pascal's triangleFibonacci \(p\)-numbersFibonacci \(p\)-matrixFibonacci \(p\)-triangle

Mathematics Subject Classification ID

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

Cites Work

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• Bivariate Fibonacci like \(p\)-polynomials
• On the \(m\)-extension of the Fibonacci and Lucas \(p\)-numbers
• Incomplete Fibonacci and Lucas \(p\)-numbers
• Theory of Binet formulas for Fibonacci and Lucas \(p\)-numbers
• Fibonacci matrices, a generalization of the ``Cassini formula, and a new coding theory
• The Binet formula, sums and representations of generalized Fibonacci \(p\)-numbers
• The Lucasp-matrix
• The Lucasp-triangle
• A short history of the Fibonacci and golden numbers with their applications

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