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Sample Question 8:
A sequence of numbers is defined by \(D_0=0,D_1=0,D_2=1\) and \(D_n=D_{n-1}+D_{n-3}\) for \(n\ge 3\). What are the parities (evenness or oddness) of the triple of numbers \((D_{2021},D_{2022},D_{2023})\), where \(E\) denotes even and \(O\) denotes odd?
\(\textbf{(A) }(O,E,O) \qquad \textbf{(B) }(E,E,O) \qquad \textbf{(C) }(E,O,E) \qquad \textbf{(D) }(O,O,E) \qquad \textbf{(E) }(O,O,O)\)