Recurrence Relationsmedium
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For the recurrence an=2an1+an2a_n = 2a_{n-1} + a_{n-2} with a0=1a_0 = 1 and a1=3a_1 = 3, find the constants c1c_1 and c2c_2 if the characteristic roots are r1=1+2r_1 = 1 + \sqrt{2} and r2=12r_2 = 1 - \sqrt{2}.