English

$k$-Pell-Lucas numbers as Product of Two Repdigits

Number Theory 2022-11-15 v1

Abstract

For any integer k2k \geq 2, let {Qn(k)}n(k2)\{Q_{n}^{(k)} \}_{n \geq -(k-2)} denote the kk-generalized Pell-Lucas sequence which starts with 0,,2,20, \dots ,2,2(kk terms) where each next term is the sum of the kk preceding terms. In this paper, we find all the kk-generalized Pell-Lucas numbers that are the product of two repdigits. This generalizes a result of Erduvan and Keskin \cite{Erduvan1} regarding repdigits of Pell-Lucas numbers.

Keywords

Cite

@article{arxiv.2211.06584,
  title  = {$k$-Pell-Lucas numbers as Product of Two Repdigits},
  author = {Bibhu Prasad Tripathy and Bijan Kumar Patel},
  journal= {arXiv preprint arXiv:2211.06584},
  year   = {2022}
}

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15 pages