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Let f(x) = 1 - x + x^2-x^3+......+x^16-x...

Let `f(x) = 1 - x + x^2-x^3+......+x^16-x^17 = a_0 + a_1(1+x)+a_2(1+x) + ... + a_17 (1+x)^17`, find the value of `a_2` .

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