If the general term formula of sequence {an} is an = n ^ 2cosn π and Sn is the sum of its first n terms, then (s2012) / 2013 is obtained Hurry up. It's urgent

If the general term formula of sequence {an} is an = n ^ 2cosn π and Sn is the sum of its first n terms, then (s2012) / 2013 is obtained Hurry up. It's urgent

The sequence is - 1 ^ 2, 2 ^ 2, - 3 ^ 2, 4 ^ 2,..., (- 1) ^ n * n ^ 2s2012 = - 1 ^ 2 + 2 ^ 2-3 ^ 2 + 4 ^ 2-5 ^ 2 + 6 ^ 2 +. - 2011 ^ 2 + 2012 ^ 2 = (2 ^ 2-1 ^ 2) + (4 ^ 2-3 ^ 2) + (6 ^ 2-5 ^ 2) +. + (2012 ^ 2-2011 ^ 2) = (2-1) (1 + 2) + (4-3) (3 + 4) + (6-5) * (5 + 6) +... + (2012-2011) (2011 + 2012) = 3 + 7