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A223271 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. 1
36, 576, 20992, 622592, 19726336, 611319808, 19084083200, 594316099584, 18523120205824, 577157705236480, 17985124012392448, 560427673747193856, 17463446426942963712, 544175431737222889472, 16956974709073621549056 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 3 of A223269.

LINKS

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

FORMULA

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

EXAMPLE

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

CROSSREFS

Cf. A223269.

Sequence in context: A099764 A003841 A226284 * A151597 A263957 A323974

Adjacent sequences:  A223268 A223269 A223270 * A223272 A223273 A223274

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 19 2013

STATUS

approved

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Last modified May 19 10:22 EDT 2022. Contains 353832 sequences. (Running on oeis4.)