On $k$-Pell numbers that are Palindromes formed by two distinct Repdigits

Herbert Batte, Darius Guma

Let $k\ge 2$ and consider the sequence $\{P_n^{(k)}{\}}_{n\ge 2-k}$ of $k$-generalized Pell numbers, which begins with the first $k$ terms as $0,\dots ,0,0,1$, and satisfies th…