Distance Fibonacci numbers, their interpretations and matrix generators

• Autorzy: Urszula Bednarz , Małgorzata Wołowiec-Musiał
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Fibonacci numbers, matching, covering, matrix generators

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2013
• Tom: 53
• Numer: 1

Daty

wydano

2013

online

2013-06-15

Twórcy

autor

Urszula Bednarz

autor

Małgorzata Wołowiec-Musiał

Identyfikatory

DOI

10.14708/cm.v53i1.771