Journal of Applied Mathematics

On Distance ( r , k ) -Fibonacci Numbers and Their Combinatorial and Graph Interpretations

Dorota Bród

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We introduce three new two-parameter generalizations of Fibonacci numbers. These generalizations are closely related to k -distance Fibonacci numbers introduced recently. We give combinatorial and graph interpretations of distance ( r , k ) -Fibonacci numbers. We also study some properties of these numbers.

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J. Appl. Math., Volume 2015 (2015), Article ID 879510, 6 pages.

First available in Project Euclid: 13 October 2015

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Bród, Dorota. On Distance $(r,k)$ -Fibonacci Numbers and Their Combinatorial and Graph Interpretations. J. Appl. Math. 2015 (2015), Article ID 879510, 6 pages. doi:10.1155/2015/879510.

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