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

Herbert Batte, Prosper Kaggwa

For integers $k\ge 2$, the $k$-generalized Lucas sequence $\{L_n^{(k)}{\}}_{n\ge 2-k}$ is defined by the recurrence relation \[ L_n^{(k)} = L_{n-1}^{(k)} + \cdots + L_{n-k}^{(k)}…