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A223271
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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, diagonal or antidiagonal neighbor moves across a corresponding cube edge.
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1
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36, 576, 20992, 622592, 19726336, 611319808, 19084083200, 594316099584, 18523120205824, 577157705236480, 17985124012392448, 560427673747193856, 17463446426942963712, 544175431737222889472, 16956974709073621549056
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OFFSET
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1,1
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COMMENTS
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Row 3 of A223269.
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..210
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FORMULA
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Empirical: a(n) = 24*a(n-1) + 256*a(n-2) - 1024*a(n-3) for n>4.
Empirical g.f.: 4*x*(9 - 72*x - 512*x^2 + 2048*x^3) / (1 - 24*x - 256*x^2 + 1024*x^3). - Colin Barker, Aug 18 2018
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EXAMPLE
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Some solutions for n=3:
..0..2..5....0..2..1....0..1..0....0..1..0....0..1..5....0..2..0....0..1..5
..0..2..0....4..3..1....0..3..0....5..3..5....0..1..0....5..1..0....0..3..5
..4..3..4....0..2..1....0..4..5....4..2..0....2..4..3....0..3..5....5..3..1
Face neighbors:
0.->.1.2.3.4
1.->.0.2.3.5
2.->.0.1.4.5
3.->.0.1.4.5
4.->.0.3.2.5
5.->.1.3.4.2
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CROSSREFS
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Cf. A223269.
Sequence in context: A099764 A003841 A226284 * A151597 A263957 A323974
Adjacent sequences: A223268 A223269 A223270 * A223272 A223273 A223274
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Mar 19 2013
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STATUS
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approved
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