k-Pell-Lucas numbers as Product of Two Repdigits

2022/11/12 by Bibhu Prasad Tripathy, Tripathy, Bibhu Prasad, Bijan Kumar Patel +1
Physics and Astronomy · Mathematics · #Advanced Mathematical Theories and Applications #Statistical Mechanics and Entropy #Advanced Mathematical Identities

paper · pdf · doi:10.48550/arxiv.2211.06584

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 the product of two repdigits. This generalizes a result of Erduvan and Keskin \citeErduvan1 regarding repdigits of Pell-Lucas numbers.

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