Given a finite sequence \(x_{1,1}, x_{2,1}, \ldots, x_{n, 1}\) of integers ( \(n \geq 2\) ), not all equal, define the sequences \(x_{1, k}, \ldots, x_{n, k}\) by
Given a finite sequence \(x_{1,1}, x_{2,1}, \ldots, x_{n, 1}\) of integers ( \(n \geq 2\) ), not all equal, define the sequences \(x_{1, k}, \ldots, x_{n, k}\) by\[x_{i, ...