A381243
Number of hyperplanes defined by the nonzero differences of two permutations of order n.
Original entry on oeis.org
0, 0, 1, 6, 85, 1370, 30481, 778610, 24409645, 881325366, 36635553601, 1713454403210, 89415912126223, 5143372266050837, 323667807885619744, 22112062644980805684
Offset: 0
A384035
Number of vector differences between two permutations of order n, up to multiplication by positive rational numbers and permutations of the components.
Original entry on oeis.org
1, 1, 2, 4, 13, 49, 228, 1034, 5133, 25710, 133872, 708976, 3846150, 21170077, 118429072, 670537495
Offset: 0
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.
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