descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2007 English Publisher:Elsevier BVJournal:Chaos, Solitons & Fractals, volume 32, pages 1,615-1,624 (issn: 0960-0779,

Authors: Sergio Falcon; Ángel Plaza;

doi: 10.1016/j.chaos.2006.09.022

handle: 10553/49165

On the Fibonacci k-numbers

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Abstract

We introduce a general Fibonacci sequence that generalizes, between others, both the classic Fibonacci sequence and the Pell sequence. These general kth Fibonacci numbers {Fk, n}n = 0 ∞ were found by studying the recursive application of two geometrical transformations used in the well-known four-triangle longest-edge (4TLE) partition. Many properties of these numbers are deduce directly from elementary matrix algebra.

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University of Las Palmas de Gran Canaria
Spain

Keywords

120504 Teoría elemental de los números, Triangular Grids, Golden Section, Mathematics

4 Research products, page 1 of 1

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