A223200 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 or vertical neighbor moves across a corresponding cube edge.

1024, 995328, 1020002304, 1061444124672, 1110327429169152, 1163614255186968576, 1220273386789986631680, 1280001086812985197854720, 1342770055307877057357152256, 1408661948573682047511982768128

Offset: 1

Author

R. H. Hardin Mar 18 2013

Keywords

• nonn

Comments

Column 6 of A223202

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 1920*a(n-1) -1191936*a(n-2) [phone]*a(n-3) -48670703616*a(n-4) [phone]*a(n-5) -147884313935872*a(n-6) +2269391999729664*a(n-7)