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%I #4 Mar 19 2013 13:49:33
%S 4096,15925248,64399343616,262687716016128,1073434373061083136,
%T 4387933871654786039808,17937911731045128424390656,
%U 73331159360640809507160588288,299782360886263133728989486514176
%N Rolling cube footprints: number of nX7 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
%C Column 7 of A223357
%H R. H. Hardin, <a href="/A223356/b223356.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5376*a(n-1) -5750784*a(n-2) +2038431744*a(n-3) -217432719360*a(n-4)
%e Some solutions for n=3
%e ..0..3..0..3..1..2..5....0..3..0..3..1..2..4....0..3..0..3..4..2..4
%e ..0..3..0..3..5..1..0....0..3..0..3..5..2..5....0..3..0..3..0..2..4
%e ..0..3..0..3..0..1..5....0..3..0..3..0..3..0....0..3..0..3..4..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 19 2013