For \(x \in R, x \neq-1\), if
\((1+x)^{2016}+x(1+x)^{2015}+x^{2}(1+x)^{2014}+\ldots \ldots+x^{2016}=\sum_{i=0}^{2016} a_{i} \cdot x^{i}\), then \(a_{17}\) is equal to
(A) \(\frac{2016 !}{17 ! 1999 !}\)
(B) \(\frac{2016 !}{16 !}\)
(C) \(\frac{2017 !}{2000 !}\)
(D) \(\frac{2017 !}{17 ! 2000 !}\)