<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper we define the k-Fibonacci words in analogy with the definition of the k-Fibonacci numbers. We study their properties and we associate to this family of words a family of curves with interesting patterns.</p></abstract>

In this paper we define the k-Fibonacci words in analogy with the definition of the k-Fibonacci numbers. We study their properties and we associate to this family of words a family of curves with interesting patterns.

On the k-Fibonacci words

Instituto de Matemáticas y sus Aplicaciones Universidad Sergio Arboleda, Colombia

Departamento de Matemáticas Universidad Nációnál de Colombia, Colombia

Acta Universitatis Sapientiae, Informatica

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

{"article-title":"On the k-Fibonacci words"}

In this paper we define the k-Fibonacci words in analogy with the definition of the k-Fibonacci numbers. We study their properties and we associate to this...

On the k-Fibonacci words

Publié en ligne: 30 mai 2014

Pages: 212 - 226

Reçu: 12 juin 2013

DOI: https://doi.org/10.2478/ausi-2014-0011

Mots clés
Fibonacci word, k-Fibonacci numbers, k-Fibonacci words, k- Fibonacci curves

© 2014

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

On the k-Fibonacci words

Publié en ligne: 30 mai 2014

Pages: 212 - 226

Reçu: 12 juin 2013

DOI: https://doi.org/10.2478/ausi-2014-0011

Mots clésFibonacci word, k-Fibonacci numbers, k-Fibonacci words, k- Fibonacci curves

© 2014

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Mots clés
Fibonacci word, k-Fibonacci numbers, k-Fibonacci words, k- Fibonacci curves