The polynomial function defined by

f(x) = 1 − x + x^2 − x^3 + ... + x^16 − x^17

may be written in the form

f(y) = a_0 + a_1 y + a_2 y^2 + ... + a_16 y^16 + a_17 y^17,

where y = x + 1 and a_i s are constants. Find a_2.

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