On the k-Fibonacci words

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 family of words a family of curves with interesting patterns.

Bibliographic Details
Main Authors: Ramírez Jósé L., Rubiano Gustavo N.
Format: Article
Language:English
Published: Sciendo 2013-12-01
Series:Acta Universitatis Sapientiae: Informatica
Subjects:
fibonacci word
k-fibonacci numbers
k-fibonacci words
k- fibonacci curves
Online Access:https://doi.org/10.2478/ausi-2014-0011
id doaj-ce80fbed0ee64e2e999a6dd97b053867
record_format Article
spelling doaj-ce80fbed0ee64e2e999a6dd97b0538672021-09-06T19:41:25ZengSciendoActa Universitatis Sapientiae: Informatica2066-77602013-12-015221222610.2478/ausi-2014-0011On the k-Fibonacci wordsRamírez Jósé L.0Rubiano Gustavo N.1Instituto de Matemáticas y sus Aplicaciones Universidad Sergio Arboleda, ColombiaDepartamento de Matemáticas Universidad Nációnál de Colombia, ColombiaIn 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.https://doi.org/10.2478/ausi-2014-0011fibonacci wordk-fibonacci numbersk-fibonacci wordsk- fibonacci curves
collection DOAJ
language English
format Article
sources DOAJ
author Ramírez Jósé L.
Rubiano Gustavo N.
spellingShingle Ramírez Jósé L.
Rubiano Gustavo N.
On the k-Fibonacci words
Acta Universitatis Sapientiae: Informatica
fibonacci word
k-fibonacci numbers
k-fibonacci words
k- fibonacci curves
author_facet Ramírez Jósé L.
Rubiano Gustavo N.
author_sort Ramírez Jósé L.
title On the k-Fibonacci words
title_short On the k-Fibonacci words
title_full On the k-Fibonacci words
title_fullStr On the k-Fibonacci words
title_full_unstemmed On the k-Fibonacci words
title_sort on the k-fibonacci words
publisher Sciendo
series Acta Universitatis Sapientiae: Informatica
issn 2066-7760
publishDate 2013-12-01
description 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.
topic fibonacci word
k-fibonacci numbers
k-fibonacci words
k- fibonacci curves
url https://doi.org/10.2478/ausi-2014-0011
work_keys_str_mv AT ramirezjosel onthekfibonacciwords
AT rubianogustavon onthekfibonacciwords
_version_ 1717766263669784576

Similar Items