A381243 Number of hyperplanes defined by the nonzero differences of two permutations of order n.

0, 0, 1, 6, 85, 1370, 30481, 778610, 24409645, 881325366, 36635553601, 1713454403210, 89415912126223, 5143372266050837, 323667807885619744, 22112062644980805684

Offset: 0

Author

Max Alekseyev, Feb 17 2025

Keywords

• nonn
• more

Comments

Each of A175176(n) - 1 nonzero differences between two permutations (viewed as vectors) defines a hyperplane in the n-dimensional space. a(n) gives the number of pairwise distinct hyperplanes among them.

Crossrefs

Cf. A019589, A175176, A362968, A381244, A381339.