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A223358
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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.
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1
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36, 1024, 36864, 1327104, 48365568, 1764753408, 64399343616, 2350085308416, 85760296353792, 3129600934674432, 114206719453691904, 4167679858509348864, 152088734250301390848, 5550086348122858979328, 202536095940875781144576
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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Empirical: a(n) = 40*a(n-1) - 128*a(n-2) for n>4.
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
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EXAMPLE
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Some solutions for n=3:
0 1 3 0 2 1 0 2 5 0 1 3 0 1 0 0 4 2 0 1 3
0 1 5 0 2 5 0 2 5 3 0 2 3 4 2 5 1 3 5 4 5
0 4 3 0 4 5 1 2 4 2 1 3 2 4 5 2 4 5 0 3 0
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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