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

Abstract

For any integer k ≥ 2, let {Qdenote 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.