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

0,4

Comments

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

Links

Table of n, a(n) for n=0..15.

Crossrefs

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

Sequence in context: A290011 A164266 A136597 * A064329 A187740 A332407

Adjacent sequences: A381224 A381225 A381226 * A381244 A381245 A381247

Keyword

nonn,more,new

Author

Max Alekseyev, Feb 17 2025

Status

approved