Distance Fibonacci numbers, their interpretations and matrix generators

Urszula Bednarz, and Małgorzata Wołowiec-Musiał. "Distance Fibonacci numbers, their interpretations and matrix generators." Commentationes Mathematicae 53.1 (2013): null. <http://eudml.org/doc/292321>.

@article{UrszulaBednarz2013,
abstract = {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.},
author = {Urszula Bednarz, Małgorzata Wołowiec-Musiał},
journal = {Commentationes Mathematicae},
keywords = {Fibonacci numbers, matching, covering, matrix generators},
language = {eng},
number = {1},
pages = {null},
title = {Distance Fibonacci numbers, their interpretations and matrix generators},
url = {http://eudml.org/doc/292321},
volume = {53},
year = {2013},
}

TY - JOUR
AU - Urszula Bednarz
AU - Małgorzata Wołowiec-Musiał
TI - Distance Fibonacci numbers, their interpretations and matrix generators
JO - Commentationes Mathematicae
PY - 2013
VL - 53
IS - 1
SP - null
AB - 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.
LA - eng
KW - Fibonacci numbers, matching, covering, matrix generators
UR - http://eudml.org/doc/292321
ER -