Nihal Yılmaz Özgür, Öznur Öztunç Kaymak
Abstract
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In this study we investigate some properties of the k-Fibonacci and k-Lucas sequences which are generalize the classical Fibonacci and Lucas sequences. Moreover, two efficient tests are introduced as to whether or not a positive integer is k-Fibonacci or k-Lucas.
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In this study we investigate some properties of the k-Fibonacci and k-Lucas sequences which are generalize the classical Fibonacci and Lucas sequences. Moreover, two efficient tests are introduced as to whether or not a positive integer is k-Fibonacci or k-Lucas.
Key concepts: Fibonacci number, Lucas number, Lucas sequence, Fibonacci polynomials, Pisano period, Mathematics, Combinatorics, Integer (computer science)