from __future__ import print_function
import numpy as np


N = 100
x = np.zeros(N+3)
x[0] = 1.
x[1] = 2./3.

for n in range(0,N+1):
    x[n+2] = -(4/3.0)*x[n+1] + (4./3)*x[n]
    print('x[%d]: %g' % (n, x[n]));