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A223200 Rolling cube footprints: number of nX6 0..5 arrays starting with 0 where 0..5 label faces of a cube and every array movement to a horizontal or vertical neighbor moves across a corresponding cube edge 1
1024, 995328, 1020002304, 1061444124672, 1110327429169152, 1163614255186968576, 1220273386789986631680, 1280001086812985197854720, 1342770055307877057357152256, 1408661948573682047511982768128 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A223202

LINKS

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

FORMULA

Empirical: a(n) = 1920*a(n-1) -1191936*a(n-2) +335020032*a(n-3) -48670703616*a(n-4) +3778497478656*a(n-5) -147884313935872*a(n-6) +2269391999729664*a(n-7)

EXAMPLE

Some solutions for n=3

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

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

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

Face neighbors:

0,5 -> 1 2 3 4

1,4 -> 0 2 3 5

2,3 -> 0 1 4 5

CROSSREFS

Sequence in context: A017441 A222102 A229104 * A017573 A016750 A223879

Adjacent sequences:  A223197 A223198 A223199 * A223201 A223202 A223203

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 18 2013

STATUS

approved

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Last modified May 28 08:23 EDT 2022. Contains 354112 sequences. (Running on oeis4.)