BinomialExpansion
Difficult
Let $(x^{2017}+x^{2019}+2)^{2018} = a_0+a_1x+\cdots+a_nx^n$. Find
$$a_0-\frac{a_1}{2}-\frac{a_2}{2}+a_3-\frac{a_4}{2}-\frac{a_5}{2}+a_6-\cdots$$
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