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

2023/03/09 by Tripathy, Bibhu Prasad, Patel, Bijan Kumar · 1 citation
#11B39 #11J86 #11R52 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2303.05293

Abstract

For any integer k ≥ 2, let \Q_n^(k) \_{n ≥ -(k-2)} denote the k-generalized Pell-Lucas sequence which starts with 0, … ,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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• On concatenations of two k-generalized Lucas numbers

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