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arXiv · 2303.05293

$k$-Pell-Lucas numbers which are concatenations of two repdigits

Bibhu Prasad Tripathy·Bijan Kumar Patel
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Abstract

For any integer $k \geq 2$, let $\{Q_{n}^{(k)} \}_{n \geq -(k-2)}$ denote the $k$-generalized Pell-Lucas sequence which starts with $0, \dots ,2,2$($k$ terms) where each next term is the sum of the $k$ preceding terms. In this paper, we find all the $k$-generalized Pell-Lucas numbers that are concatenations of two repdigits.

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Bibhu Prasad Tripathy, Bijan Kumar Patel. 2023-03-09. $k$-Pell-Lucas numbers which are concatenations of two repdigits. https://arxiv.org/abs/2303.05293

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