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%I #10 Aug 19 2018 18:13:10
%S 36,1024,36864,1327104,48365568,1764753408,64399343616,2350085308416,
%T 85760296353792,3129600934674432,114206719453691904,
%U 4167679858509348864,152088734250301390848,5550086348122858979328,202536095940875781144576
%N Rolling cube footprints: number of 3 X n 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 Row 3 of A223357.
%H R. H. Hardin, <a href="/A223358/b223358.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 40*a(n-1) - 128*a(n-2) for n>4.
%F Empirical g.f.: 4*x*(9 - 104*x + 128*x^2 - 4096*x^3) / (1 - 40*x + 128*x^2). - _Colin Barker_, Aug 19 2018
%e Some solutions for n=3:
%e 0 1 3 0 2 1 0 2 5 0 1 3 0 1 0 0 4 2 0 1 3
%e 0 1 5 0 2 5 0 2 5 3 0 2 3 4 2 5 1 3 5 4 5
%e 0 4 3 0 4 5 1 2 4 2 1 3 2 4 5 2 4 5 0 3 0
%Y Cf. A223357.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 19 2013
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