THE PRODUCT OF THREE k-GENERALIZED LUCAS NUMBERS AS REPDIGITS

Abstract

In this paper, we search all repdigits which are products of arbitrary three terms of k-generalized Lucas sequences. Thus, we find all nonnegative integer solutions of the Diophantine equation (LnLmLl(k) )-L-(k)-L-(k)= a(10(d)-1/9) where n >= m >= l >= 0 and 1 = 2 and d >= 1.