A223264 Rolling cube footprints: number of n X n 0..5 arrays starting with 0 where 0..5 label faces of a cube and every array movement to a horizontal, diagonal or antidiagonal neighbor moves across a corresponding cube edge.

1, 48, 20992, 63438848, 1771674009600, 389343801904201728, 761838097494483172065280, 12136917084120610801062514786304, 1696402284763369899693403606733469777920

Offset: 1

Author

R. H. Hardin Mar 19 2013

Keywords

• nonn

Comments

Diagonal of A223269

Examples

			Some solutions for n=3
..0..1..0....0..2..1....0..2..1....0..2..5....0..4..3....0..2..1....0..1..5
..3..1..0....1..3..4....4..2..0....1..2..1....3..4..3....0..2..4....0..4..0
..5..1..5....4..5..4....0..3..5....4..3..0....2..4..5....0..2..0....3..4..3
Face neighbors:
0 -> 1 2 3 4
1 -> 0 2 3 5
2 -> 0 1 4 5
3 -> 0 1 4 5
4 -> 0 3 2 5
5 -> 1 3 4 2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..14