Some basic properties of the generalized bi-periodic Fibonacci and Lucas sequences

DOI10.1186/S13662-020-2507-4zbMath1487.11018arXiv1910.04043OpenAlexW3030537118WikidataQ126357890 ScholiaQ126357890MaRDI QIDQ2144029

Elif Tan, Ho-Hon Leung

Publication date: 1 June 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.04043

zbMATH Keywords

matrix methodHoradam sequencebi-periodic Fibonacci sequence

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Matrix equations and identities (15A24) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (9)

Bi-periodic incomplete Horadam numbers ⋮ On \(r\)-circulant matrices with generalized bi-periodic Fibonacci numbers ⋮ Split complex bi-periodic Fibonacci and Lucas numbers ⋮ Some higher-order identities for generalized bi-periodic Horadam sequences ⋮ On the reciprocal products of generalized Fibonacci sequences ⋮ On a new generalization of Fibonacci hybrid numbers ⋮ On the bi-periodic Padovan sequences ⋮ Unnamed Item ⋮ A note on congruence properties of the generalized bi-periodic Horadam sequence

Cites Work

• Two generalizations of Lucas sequence
• A note on generalized Fibonacci sequences
• The nth Power of a 2 × 2 Matrix
• A New Generalization of Fibonacci Sequence & Extended Binet's Formula
• The Fibonacci Numbers: Exposed
• Some identities on conditional sequences by using matrix method
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