Geodesic
Distance Fibonacci numbers, their interpretations and matrix generators
Commentationes Mathematicae, Tome 53 (2013) no. 1, pp. 35-46.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

In this paper we define a distance Fibonacci numbers, also for negative integers, which generalize the classical Fibonacci numbers and Padovan numbers, simultaneously. We give different interpretations of these numbers with respect to special partitions and compositions, also in graphs. We show a construction of the sequence of distance Fibonacci numbers using the Pascal's triangle. Moreover, we give matrix generators of these numbers, for negative integers, too.
DOI : 10.14708/cm.v53i1.771
Mots-clés : Fibonacci numbers, matching, covering, matrix generators 
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Urszula Bednarz; Małgorzata Wołowiec-Musiał. Distance Fibonacci numbers, their interpretations and matrix generators. Commentationes Mathematicae, Tome 53 (2013) no. 1, pp.  35-46. doi : 10.14708/cm.v53i1.771. http://geodesic.mathdoc.fr/articles/10.14708/cm.v53i1.771/

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