A223266 Rolling cube footprints: number of n X 5 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.

256, 67584, 19726336, 5889851392, 1771674009600, 534392715870208, 161366284997492736, 48747995907588358144, 14729174296327654211584, 4450732984859801614811136, 1344923124886673681620664320

Offset: 1

Author

R. H. Hardin, Mar 19 2013

Keywords

• nonn

Comments

Column 5 of A223269.

Examples

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

Crossrefs

Cf. A223269.

Formula

Empirical: a(n) = 448*a(n-1) -46080*a(n-2) +491520*a(n-3) [phone]*a(n-4) -637534208*a(n-5) [phone]*a(n-6).