On Palindromic forms in the k-Lucas sequence composed of two distinct Repdigits

For integers k 2, the k-generalized Lucas sequence \Lₙ^{ (k) \}₍ ₂-₊ is defined by the recurrence relation \ Lₙ^ (k) = L₍-₁^ (k) + + L₍-₊^ (k) for n 2, \ with initial terms given by L₀^ (k) = 2, L₁^ (k) = 1, and L₂-₊^ (k) = = L-₁^ (k) = 0. In this paper, we extend work in Lucas and show that the result in Lucas still holds for k 3, that is, we show that for k 3, there is no k-generalized Lucas number appearing as a palindrome formed by concatenating two distinct repdigits.