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A223401 4X4 square grid graph coloring a rectangular array: number of nX7 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 #4 Mar 19 2013 18:16:56

%S 16488,6985008,3445747472,1770698081072,924127826390176,

%T 485449397967176280,255768507759156858992,134949783828939584120672,

%U 71254070803235893596880736,37636402829217559686241021952

%N 4X4 square grid graph coloring a rectangular array: number of nX7 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 Column 7 of A223402

%H R. H. Hardin, <a href="/A223401/b223401.txt">Table of n, a(n) for n = 1..109</a>

%e Some solutions for n=3

%e ..4..0..1..5..1..0..4....4..0..1..5..1..5..9....4..0..1..5..6.10..6

%e ..0..1..2..1..5..4..5....0..1..2..1..0..1..5....0..1..2..6..5..9..5

%e ..4..0..1..5..4..8..4....4..0..1..2..1..0..4....4..0..1..5..9..5..9

%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 April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)