A223267 Rolling cube footprints: number of nX6 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.

1024, 737280, 611319808, 522106961920, 450204914417664, 389343801904201728, 337035427916688654336, 291846966499723716853760, 252743669925904582659014656, 218887233158696603085046808576

Offset: 1

Author

R. H. Hardin Mar 19 2013

Keywords

• nonn

Comments

Column 6 of A223269

Examples

			Some solutions for n=3
..0..3..0..2..1..3....0..3..0..2..4..2....0..3..0..2..0..2....0..3..0..2..1..3
..0..3..0..2..0..2....0..3..0..2..4..2....0..3..0..1..5..1....0..3..0..3..0..2
..0..3..0..4..5..1....0..3..0..3..1..3....0..3..0..4..3..4....0..3..0..2..5..1
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..210

Formula

Empirical: a(n) = 1152*a(n-1) -229376*a(n-2) -21233664*a(n-3) [phone]*a(n-4) [phone]*a(n-5) -17798344474624*a(n-6) [phone]*a(n-7) +6755399441055744*a(n-8) -90071992547409920*a(n-9)