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Recursionhard
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Solve the third-order homogeneous recurrence an=2an−1+an−2−2an−3a_n = 2a_{n-1} + a_{n-2} - 2a_{n-3}an​=2an−1​+an−2​−2an−3​ with a0=1a_0 = 1a0​=1, a1=0a_1 = 0a1​=0, a2=1a_2 = 1a2​=1. What is a5a_5a5​?