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Recurrence Relationsmedium
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Given the recurrence an=2an−1+3an−2a_n = 2a_{n-1} + 3a_{n-2}an​=2an−1​+3an−2​ with initial conditions a0=1a_0 = 1a0​=1 and a1=1a_1 = 1a1​=1, find a2a_2a2​.