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If a = e^(2pi i)/7 and f(x) = A0 +sum(...

If `a = e^(2pi i)/7 and f(x) = A_0 +sum_(k=1)^20 A_k x^k`, then the value of `sum_(r=0)^6 f(a^r x) = n( A_0 + A_nx^n + A_(2n) x^(2n))` , then the value of n is

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