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%I #4 Mar 19 2013 12:05:51
%S 4096,19683,1750329,155649627,13876429707,1237689159021,
%T 110409049892673,9849460912651899,878665830242295627,
%U 78385506226393458141,6992749153173468569913,623821244550672567090699
%N Rolling cube footprints: number of 5Xn 0..7 arrays starting with 0 where 0..7 label vertices of a cube and every array movement to a horizontal or antidiagonal neighbor moves along a corresponding cube edge
%C Row 5 of A223331
%H R. H. Hardin, <a href="/A223334/b223334.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 131*a(n-1) -4376*a(n-2) +62456*a(n-3) -430316*a(n-4) +1335338*a(n-5) -688543*a(n-6) -5374827*a(n-7) +10631682*a(n-8) -5437152*a(n-9) for n>13
%e Some solutions for n=3
%e ..0..4..0....0..4..0....0..4..0....0..4..0....0..4..0....0..4..0....0..4..0
%e ..0..4..6....0..2..6....6..4..6....0..4..5....0..4..6....0..2..3....0..4..0
%e ..0..4..0....3..2..0....6..7..5....5..4..6....5..4..5....3..7..3....6..2..3
%e ..0..4..5....0..2..3....6..4..0....6..7..5....5..1..0....3..1..0....6..2..0
%e ..6..4..5....6..7..3....0..2..6....5..1..5....3..2..6....3..1..3....6..2..0
%e Vertex neighbors:
%e 0 -> 1 2 4
%e 1 -> 0 3 5
%e 2 -> 0 3 6
%e 3 -> 1 2 7
%e 4 -> 0 5 6
%e 5 -> 1 4 7
%e 6 -> 2 4 7
%e 7 -> 3 5 6
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 19 2013
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