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%I #9 Aug 19 2018 18:12:59
%S 1024,1327104,1764753408,2356125106176,3147420753985536,
%T 4204783428144463872,5617417467128419713024,7504647859211051911348224,
%U 10025914758161450104466178048,13394228581283493899583803621376
%N Rolling cube footprints: number of n X 6 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 6 of A223357.
%H R. H. Hardin, <a href="/A223355/b223355.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 1600*a(n-1) - 368640*a(n-2) + 21233664*a(n-3).
%F Empirical g.f.: 1024*x*(1 - 304*x + 18432*x^2) / (1 - 1600*x + 368640*x^2 - 21233664*x^3). - _Colin Barker_, Aug 19 2018
%e Some solutions for n=3:
%e 0 3 0 3 4 2 0 3 0 2 0 3 0 3 0 2 5 1 0 3 0 1 0 1
%e 0 3 0 3 0 4 0 3 0 3 0 3 0 3 0 4 2 1 0 3 0 2 5 4
%e 0 3 0 1 2 4 0 3 0 3 5 3 0 3 0 1 3 4 0 3 0 4 5 3
%Y Cf. A223357.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 19 2013