Word Count : 269

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Let (A(x) = \sum_{n=0}^{\infty} a_n x^n) be the generating function of the sequence ({a_n}). The recurrence is [ a_n = 6a_{n-1} - 5a_{n-2} + 1, \quad a_0 = 2, , a_1 = 5. ] Multiply both sides of the recurrence by (x^n) and sum ________ _______ ______ __________ _______.
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