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A223272 Rolling cube footprints: number of 4Xn 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 1
216, 6912, 765952, 63438848, 5889851392, 522106961920, 47175115472896, 4228713130491904, 380326363447427072, 34157975785279848448, 3069635685131267080192, 275785779148632316968960 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 4 of A223269

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 48*a(n-1) +4096*a(n-2) -12288*a(n-3) -1638400*a(n-4) +2097152*a(n-5) +67108864*a(n-6) for n>7

EXAMPLE

Some solutions for n=3

..0..3..0....0..3..0....0..3..0....0..3..0....0..3..1....0..3..1....0..3..0

..0..2..1....4..2..5....0..4..0....5..4..0....1..3..4....4..2..4....5..2..0

..4..2..5....1..3..5....5..3..5....2..4..5....1..3..5....4..3..5....1..3..5

..4..2..4....5..2..5....5..3..5....2..4..2....5..2..0....4..2..4....4..3..4

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

CROSSREFS

Sequence in context: A246896 A017595 A232835 * A265845 A131643 A269139

Adjacent sequences:  A223269 A223270 A223271 * A223273 A223274 A223275

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 19 2013

STATUS

approved

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Last modified September 27 15:29 EDT 2020. Contains 337383 sequences. (Running on oeis4.)