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On a new type of distance Fibonacci numbers |
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| Authors: | Iwona Włoch Urszula Bednarz Dorota Bród Andrzej Włoch Małgorzata Wołowiec-Musiał |
| Affiliation: | Rzeszów University of Technology, Faculty of Mathematics and Applied Physics, al. Powstańców Warszawy 12, 35-359 Rzeszów, Poland |
| Abstract: | In this paper, we define a new kind of Fibonacci numbers generalized in the distance sense. This generalization is related to distance Fibonacci numbers and distance Lucas numbers, introduced quite recently. We also study distinct properties of these numbers for negative integers. Their representations and interpretations in graphs are also studied. |
| Keywords: | Generalized Fibonacci numbers Cassini formula Partition Matchings |
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