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Recurrence Relationseasy
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Consider an=4an−1−4an−2a_n = 4a_{n-1} - 4a_{n-2}an​=4an−1​−4an−2​ with a0=1a_0 = 1a0​=1 and a1=4a_1 = 4a1​=4. The general solution is an=(c1+c2n)⋅2na_n = (c_1 + c_2 n) \cdot 2^nan​=(c1​+c2​n)⋅2n. What is c1c_1c1​?