A385321 Number of 3-dimensional permutation arrays of size n X n X n.

1, 5, 70, 2167, 130708, 14231289, 2664334184, 831478035698

Offset: 1

Author

Svante Linusson, Jun 25 2025

Keywords

• nonn
• more

Comments

3-dim permutation arrays represent possible intersections of 3 flags of subspaces of R^n.

Examples

			For n=2, the three flags must agree on the two dimensional part. The one-dimensional part either agrees or disagrees which give five possibilities corresponding to the five set partitions of three elements.
		

Links

• Kimmo Eriksson and Svante Linusson, A combinatorial theory of higher-dimensional permutation arrays, Adv. Appl. Math. 25(2) (2000a), 194-211. See Table 1 (p. 210).

Crossrefs

Column 3 of A330490.