Divisibilityhard
0:00.0

Let a sequence be defined by x0=2x_0 = 2, x1=3x_1 = 3, and xn+1=3xn2xn1x_{n+1} = 3x_n - 2x_{n-1} for n1n \ge 1. For which of the following relations between mm and nn is xnx_n guaranteed to divide xmx_m?