Determine the coefficient of xnx^nxn in the Maclaurin series for f(x)=x1−x2f(x) = \frac{x}{1-x^2}f(x)=1−x2x.
111 if nnn is odd, 000 if nnn is even
111 if nnn is even, 000 if nnn is odd
(−1)n(-1)^n(−1)n
2n2^n2n