Consider the coupled system of recurrences: xn=2xn−1+yn−1x_n = 2x_{n-1} + y_{n-1}xn=2xn−1+yn−1 yn=xn−1+2yn−1y_n = x_{n-1} + 2y_{n-1}yn=xn−1+2yn−1 with x0=1,y0=0x_0 = 1, y_0 = 0x0=1,y0=0. What is x2x_2x2?
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