因为a(n+1)=an-n,所以a(n+1)-an=-n
所以 an - a(n-1) = -(n-1)
a(n-1 )-a(n-2)= -(n-2)
...... ......
a2 - a1 = -1
等式相加得 an-a1= - (n-1+n-2+...+1)
an= - (n-1+n-2+...+1)+a1= - <(n-1)+1>(n-1) /2 + 1
=(n^2-n)/2 + 1