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A223394 4X4 square grid graph coloring a rectangular array: number of n X n 0..15 arrays where 0..15 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 16,328,39480,26836512,102163935000,2167784359988816,

%T 255768507759156858992,167580379521857073501154504,

%U 609297766107012047545889012846856

%N 4X4 square grid graph coloring a rectangular array: number of n X n 0..15 arrays where 0..15 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 Diagonal of A223402

%H R. H. Hardin, <a href="/A223394/b223394.txt">Table of n, a(n) for n = 1..10</a>

%e Some solutions for n=3

%e ..2..6..7....7..6.10....2..3..7....5..6..2....7.11.15...11.10.14...11..7..6

%e ..6.10..6...11.10.11....6..7.11....6..5..6...11.10.11...10..9.10....7..3..7

%e .10..6.10...15.11.10....5..6..7....5..9..5...10.11.10....6.10.11....3..7..6

%e Vertex neighbors:

%e 0 -> 1 4

%e 1 -> 0 2 5

%e 2 -> 1 3 6

%e 3 -> 2 7

%e 4 -> 0 5 8

%e 5 -> 4 1 6 9

%e 6 -> 5 2 7 10

%e 7 -> 6 3 11

%e 8 -> 4 9 12

%e 9 -> 8 5 10 13

%e 10 -> 9 6 11 14

%e 11 -> 10 7 15

%e 12 -> 8 13

%e 13 -> 12 9 14

%e 14 -> 13 10 15

%e 15 -> 14 11

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 19 2013

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Last modified May 28 22:08 EDT 2022. Contains 354122 sequences. (Running on oeis4.)