A384035 Number of vector differences between two permutations of order n, up to multiplication by positive rational numbers and permutations of the components.
1, 1, 2, 4, 13, 49, 228, 1034, 5133, 25710, 133872, 708976, 3846150, 21170077, 118429072, 670537495
Offset: 0
Examples
For n = 3, there are A019589(3) = 5 difference vectors up to permutation of components: (-2, 0, 2), (-2, 1, 1), (-1, -1, 2), (-1, 0, 1), and (0, 0, 0). However, (-2, 0, 2) and (-1, 0, 1) are the same up to a factor 2. Hence, a(3) = 4.