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A223354
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 or antidiagonal neighbor moves across a corresponding cube edge.
1
256, 110592, 48365568, 21177040896, 9273505480704, 4060947412942848, 1778325505192230912, 778744859776908263424, 341019436981212766273536, 149335504495574154699866112, 65395371895437880547981918208
OFFSET
1,1
COMMENTS
Column 5 of A223357.
LINKS
FORMULA
Empirical: a(n) = 480*a(n-1) - 18432*a(n-2).
Empirical g.f.: 256*x*(1 - 48*x) / (1 - 480*x + 18432*x^2). - Colin Barker, Aug 19 2018
EXAMPLE
Some solutions for n=3:
0 3 0 3 4 0 3 5 2 0 0 3 1 2 1 0 3 5 3 1
0 3 0 2 5 0 3 5 1 5 0 3 0 3 4 0 3 4 3 4
0 3 5 4 5 0 3 0 1 5 0 3 4 5 3 0 3 1 0 4
CROSSREFS
Cf. A223357.
Sequence in context: A223199 A207295 A205927 * A236941 A222141 A333585
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 19 2013
STATUS
approved