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Distance Fibonacci numbers, their interpretations and matrix generators

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Bednarz U., Wołowiec-Musiał M.

Commentationes Mathematicae

2013

tom 53

nr 1

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.

Ograniczanie wyników

1 Commentationes Mathematicae

1 Bednarz U.

1 Wołowiec-Musiał M.

1 2013

Wyniki wyszukiwania

Distance Fibonacci numbers, their interpretations and matrix generators