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Recursionhard
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Two sequences are defined by coupled recurrences: an=2bn−1a_n = 2b_{n-1}an​=2bn−1​ and bn=an−1+bn−1b_n = a_{n-1} + b_{n-1}bn​=an−1​+bn−1​ with a0=1,b0=1a_0 = 1, b_0 = 1a0​=1,b0​=1. What is a3a_3a3​?