A note on generalized Fibonacci sequences

DOI10.1016/j.amc.2010.12.038zbMath1226.11023OpenAlexW1998092247WikidataQ60692106 ScholiaQ60692106MaRDI QIDQ628922

Omer Yayenie

Publication date: 8 March 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.12.038

zbMATH Keywords

identitiesgeneralized Fibonacci sequence

Mathematics Subject Classification ID

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

Related Items (34)

On the bi-periodic Lucas octonions ⋮ The generalized k-sequence ⋮ Two generalizations of Lucas sequence ⋮ Algebraic properties of bi$-$periodic dual Fibonacci quaternions ⋮ Bi-periodic incomplete Horadam numbers ⋮ A generalization of Fibonacci and Lucas quaternions ⋮ On \(r\)-circulant matrices with generalized bi-periodic Fibonacci numbers ⋮ Some basic properties of the generalized bi-periodic Fibonacci and Lucas sequences ⋮ Bi-periodic $r$-Fibonacci sequence and bi-periodic $r$-Lucas sequence of type $s$ ⋮ Split complex bi-periodic Fibonacci and Lucas numbers ⋮ Diophantine equations involving the bi-periodic Fibonacci and Lucas sequences ⋮ Some higher-order identities for generalized bi-periodic Horadam sequences ⋮ On the spectral norms of r-circulant and geometric circulant matrices with the bi-periodic hyper-Horadam sequence ⋮ On a new generalization of Fibonacci hybrid numbers ⋮ A note on generalized \(k\)-Horadam sequence ⋮ A \(q\)-analogue of the bi-periodic Fibonacci and Lucas sequences and Rogers-Ramanujan identities ⋮ Generalized Fibonacci sequences via orthogonal polynomials ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On a new generalization of Fibonacci quaternions ⋮ A note on bi-periodic Fibonacci and Lucas quaternions ⋮ On generalization for Tribonacci trigintaduonions ⋮ On the generalizations of Fibonacci identities ⋮ Convolutions of the bi-periodic Fibonacci numbers ⋮ A note on congruence properties of the generalized bi-periodic Horadam sequence ⋮ Some identities of the generalized Fibonacci and Lucas sequences ⋮ On Geometry of the Zeros of a Polynomial ⋮ SOME PROPERTIES OF THE GENERALIZED FIBONACCI SEQUENCE {q_n} BY MATRIX METHODS ⋮ COMPLEX FACTORIZATIONS OF THE GENERALIZED FIBONACCI SEQUENCES {q_n} ⋮ Unnamed Item ⋮ The generalized bi-periodic Fibonacci quaternions and octonions ⋮ Unnamed Item ⋮ On the reciprocal sum of the fourth power of Fibonacci numbers

Uses Software

• OEIS

Cites Work

• The \(k\)-Fibonacci sequence and the Pascal 2-triangle
• A New Generalization of Fibonacci Sequence & Extended Binet's Formula
• A Generalized Fibonacci Sequence
• Some Properties of Fibonacci Numbers
• On the \(k\)-generalized Fibonacci matrix \(Q_k\)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A note on generalized Fibonacci sequences