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A223376 3X3 square grid graph coloring a rectangular array: number of nX5 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

%I

%S 544,37008,2812608,215773456,16589428016,1275808315376,98124582178928,

%T 7547020636487088,580464274863214064,44645287470831363696,

%U 3433808133436891915472,264104805258676364046000

%N 3X3 square grid graph coloring a rectangular array: number of nX5 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

%C Column 5 of A223379

%H R. H. Hardin, <a href="/A223376/b223376.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6529*a(n-2) -3729898*a(n-4) +606147188*a(n-6) -37186782450*a(n-8) +998979380722*a(n-10) -12128079473561*a(n-12) +73825567196497*a(n-14) -244037398666282*a(n-16) +453145801165820*a(n-18) -474188974363940*a(n-20) +277662926324048*a(n-22) -88145495115904*a(n-24) +14048888263168*a(n-26) -876794757120*a(n-28) for n>29

%e Some solutions for n=3

%e ..0..1..0..3..0....0..1..4..1..0....0..3..6..7..4....0..3..4..7..8

%e ..1..0..1..4..1....1..4..3..4..1....1..4..7..4..7....1..4..7..4..5

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

%e Vertex neighbors:

%e 0 -> 1 3

%e 1 -> 0 2 4

%e 2 -> 1 5

%e 3 -> 0 4 6

%e 4 -> 3 1 5 7

%e 5 -> 4 2 8

%e 6 -> 3 7

%e 7 -> 6 4 8

%e 8 -> 7 5

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 19 2013

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Last modified January 26 02:39 EST 2022. Contains 350572 sequences. (Running on oeis4.)