A223273 Rolling cube footprints: number of 5Xn 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.

1296, 82944, 27951104, 6467616768, 1771674009600, 450204914417664, 118579442837618688, 30710179999458000896, 8018710224241441112064, 2085564910060985598869504, 543463000691877698475130880

Offset: 1

Author

R. H. Hardin Mar 19 2013

Keywords

• nonn

Comments

Row 5 of A223269

Examples

			Some solutions for n=3
..0..3..0....0..3..0....0..3..0....0..3..0....0..3..0....0..3..0....0..3..0
..0..3..4....0..3..1....0..3..0....0..3..1....0..3..0....0..3..0....0..3..0
..0..3..1....1..3..0....1..2..5....5..3..5....0..4..5....5..3..4....5..1..0
..1..3..5....0..3..1....1..2..1....5..2..0....5..1..5....0..2..4....5..2..0
..0..2..5....5..3..4....1..2..0....0..2..0....5..3..5....5..3..4....0..4..0
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) = 192*a(n-1) +31744*a(n-2) -3178496*a(n-3) -170917888*a(n-4) [phone]*a(n-5) [phone]*a(n-6) -17660905521152*a(n-7) [phone]*a(n-8) +2533274790395904*a(n-9) -40532396646334464*a(n-10) for n>11