已知数列{a n } 满足a n =2a n-1 +2 n -1(n∈N * ,n≥2),且a 4 =81 (1)求数列的前三项a 1 、a 2 、a 3 的值; (2)是否存在一个实数λ,使得数列 { a n +λ 2 n } 为等差数列?若存在,求出λ的值;若不存在,说明理由;求数列a n 通项公式.
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