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A223375 3X3 square grid graph coloring a rectangular array: number of nX4 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
192, 5808, 192752, 6443888, 215773456, 7226963248, 242067684912, 8108163611488, 271587161033712, 9096958174072272, 304707548044067088, 10206344863862297360, 341867068221933149936, 11451023265896103018864 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A223379

LINKS

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

FORMULA

Empirical: a(n) = 43*a(n-1) -319*a(n-2) -105*a(n-3) +4371*a(n-4) -4177*a(n-5) -9101*a(n-6) +12732*a(n-7) -5244*a(n-8) +704*a(n-9)

EXAMPLE

Some solutions for n=3

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

..5..4..5..8....4..5..4..7....4..3..4..3....4..3..4..7....0..3..6..3

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

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: A299863 A223421 A230751 * A233154 A292076 A223214

Adjacent sequences:  A223372 A223373 A223374 * A223376 A223377 A223378

KEYWORD

nonn

AUTHOR

R. H. Hardin Mar 19 2013

STATUS

approved

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Last modified January 29 05:09 EST 2022. Contains 350672 sequences. (Running on oeis4.)