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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
1
1024, 737280, 611319808, 522106961920, 450204914417664, 389343801904201728, 337035427916688654336, 291846966499723716853760, 252743669925904582659014656, 218887233158696603085046808576
OFFSET
1,1
COMMENTS
Column 6 of A223269
LINKS
FORMULA
Empirical: a(n) = 1152*a(n-1) -229376*a(n-2) -21233664*a(n-3) +4697620480*a(n-4) +12884901888*a(n-5) -17798344474624*a(n-6) +343047627866112*a(n-7) +6755399441055744*a(n-8) -90071992547409920*a(n-9)
EXAMPLE
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
CROSSREFS
Sequence in context: A017213 A221092 A017321 * A017441 A222102 A229104
KEYWORD
nonn
AUTHOR
R. H. Hardin Mar 19 2013
STATUS
approved