LINEARLIZATION OF GENERALIZED FIBONACCI SEQUENCES

DOI10.11568/kjm.2014.22.3.443OpenAlexW2015284783MaRDI QIDQ5217532

Sang Pyo Jun, Youngho Jang

Publication date: 24 February 2020

Published in: Korean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11568/kjm.2014.22.3.443

zbMATH Keywords

companion matrixgeneralized Fibonacci sequencesCassini's identityBinet's formula

Mathematics Subject Classification ID

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

Related Items (2)

Unnamed Item ⋮ COMPLEX FACTORIZATIONS OF THE GENERALIZED FIBONACCI SEQUENCES {q_n}

Cites Work

• Sums of the squares of terms of sequence \(\{u_n\}\)
• Some properties of the generalized Fibonacci and Lucas sequences related to the extended Hecke groups.
• On the Fibonacci \(k\)-numbers
• Fibonacci properties by matrix methods
• A New Generalization of Fibonacci Sequence & Extended Binet's Formula
• The Fibonacci Numbers: Exposed
• Cycles in the Generalized Fibonacci Sequence Modulo a Prime
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