An identity relating Fibonacci and Lucas numbers of order \(k\)

DOI10.1016/J.ENDM.2018.11.006zbMath1443.11011OpenAlexW2903869627WikidataQ128811998 ScholiaQ128811998MaRDI QIDQ1739923

Spiros D. Dafnis, Ioannis E. Livieris, Andreas N. Philippou

Publication date: 29 April 2019

Full work available at URL: https://doi.org/10.1016/j.endm.2018.11.006

zbMATH Keywords

Fibonacci numbersLucas numbersgeneralizationcolor tilingorder \(k\)

Mathematics Subject Classification ID

Combinatorial aspects of tessellation and tiling problems (05B45) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Generalized Fibonacci Numbers and Associated Matrices
• A New Fibonacci–Lucas Relation
• Two Extensions of the Sury's Identity
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