21.已知无穷数列{an}\{a_{n}\}{an}满足a1=1a_{1}=1a1=1,a2=0a_{2}=0a2=0,a3=−1a_{3}=-1a3=−1,a4=0a_{4}=0a4=0,写出满足条件的{an}\{a_{n}\}{an}的一个通项公式:___an=2n−n2a_{n}=2^{n}-n^{2}an=2n−n2[(或]an=cosn−12π)a_{n}=\cos \frac{n-1}{2}\pi )an=cos2n−1π)[(答案不唯一) ].(不能写成分段数列的形式)