Abstract
Let \(k\ge 2\). A generalization of the well-known Fibonacci and Lucas sequences are the k-Fibonacci and k-Lucas sequences, respectively. For these sequences the first k terms are \(0,\ldots ,0,1\) and \(0,\ldots ,0,2,1\), respectively, and each term afterwards is the sum of the preceding k terms. In this manuscript, our main objective is to find all k-Fibonacci and k-Lucas numbers which are product of two repdigits. This generalizes the result from Erduvan and Keskin (Turk J Math 43: 2142–2153, 2019).
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The author is grateful to the anonymous referees for useful comments to improve the quality of this paper.
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Rihane, S.E. k-Fibonacci and k-Lucas Numbers as Product of Two Repdigits. Results Math 76, 208 (2021). https://doi.org/10.1007/s00025-021-01526-y
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DOI: https://doi.org/10.1007/s00025-021-01526-y