
EXAMPLE

{2, 1, 3, 6, 4, 5} is a permutation of length 6 and order 6. Its successive powers are
{2, 1, 3, 6, 4, 5},
{1, 2, 3, 5, 6, 4},
{2, 1, 3, 4, 5, 6},
{1, 2, 3, 6, 4, 5},
{2, 1, 3, 5, 6, 4},
{1, 2, 3, 4, 5, 6}. Their sum is
{9, 9, 18, 30, 30, 30} or
{8, 7, 15, 26, 25, 24} if one does not includes the identity.
There are 197 different sums for n=6.
