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Solve the recurrence relation a n + 2 - 4 a n + 1 + 4 a n = 0 ; n 0 , given

Solve the recurrence relation

a_{n + 2} - 4 a_{n + 1} + 4 a_{n} = 0

;

n 0,

given that

a_{0} = 1, a_{1} = 3 .

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