令An=(2n-1)^2=4n^2-4n+1 (n=1,2,3,......)则Sn=4S(n^2)-4S(n)+n =4n(n+1)(2n+1)/6-4n(n+1)/2+n此题中,n=53 代入得: 4*53*54*107/6-2*53*54+53=198485
如果没算错的话是198467