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A223372 3X3 square grid graph coloring a rectangular array: number of nX1 0..8 arrays where 0..8 label nodes of the square grid graph and every array movement to a horizontal or vertical neighbor moves along an edge of this graph 1
9, 24, 68, 192, 544, 1536, 4352, 12288, 34816, 98304, 278528, 786432, 2228224, 6291456, 17825792, 50331648, 142606336, 402653184, 1140850688, 3221225472, 9126805504, 25769803776, 73014444032, 206158430208, 584115552256 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A223379

LINKS

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

FORMULA

Empirical: a(n) = 8*a(n-2) for n>3

EXAMPLE

Some solutions for n=3

..7....3....4....5....2....7....6....2....6....3....5....6....7....7....1....1

..4....4....1....4....5....4....7....5....3....6....8....7....4....8....4....2

..7....3....0....3....2....1....4....4....0....7....5....6....3....7....1....1

Vertex neighbors:

0 -> 1 3

1 -> 0 2 4

2 -> 1 5

3 -> 0 4 6

4 -> 3 1 5 7

5 -> 4 2 8

6 -> 3 7

7 -> 6 4 8

8 -> 7 5

CROSSREFS

Sequence in context: A258438 A038626 A195970 * A180334 A223290 A121089

Adjacent sequences:  A223369 A223370 A223371 * A223373 A223374 A223375

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 19 2013

STATUS

approved

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Last modified January 24 12:49 EST 2022. Contains 350538 sequences. (Running on oeis4.)