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Title: The k-Fibonacci sequence and the Pascal 2-triangle
Authors: Falcón, Sergio 
Plaza, Ángel 
UNESCO Clasification: 120504 Teoría elemental de los números
Keywords: Golden Section
Mathematics, et al
Issue Date: 2007
Project: Mtm2005-08441-C02-02. Particiones Triangulares y Algoritmos de Refinamiento 
Journal: Chaos, Solitons and Fractals 
Abstract: The general k-Fibonacci sequence {Fk, n}n = 0∞ were found by studying the recursive application of two geometrical transformations used in the well-known 4-triangle longest-edge (4TLE) partition. This sequence generalizes, between others, both the classical Fibonacci sequence and the Pell sequence. In this paper many properties of these numbers are deduced and related with the so-called Pascal 2-triangle.
ISSN: 0960-0779
DOI: 10.1016/j.chaos.2006.10.022
Source: Chaos, Solitons and Fractals [ISSN 0960-0779], v. 33 (1), p. 38-49
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