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Number of nX3 0..3 arrays avoiding the patterns z z+1 z or z z-1 z in any row, column, diagonal or antidiagonal
1

%I #5 Mar 31 2012 12:37:16

%S 58,3364,121014,4686270,181121542,6979630118,268686202446,

%T 10346388676890,398484229526944,15347093146481576,591056573797250302,

%U 22763124435331083444,876670255366683199756,33762986640905791961506

%N Number of nX3 0..3 arrays avoiding the patterns z z+1 z or z z-1 z in any row, column, diagonal or antidiagonal

%C Column 3 of A207283

%H R. H. Hardin, <a href="/A207278/b207278.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..1..2..2....2..2..1....2..0..1....1..1..0....0..1..1....1..0..2....1..3..2

%e ..1..0..2....1..0..2....0..2..0....3..2..0....3..3..0....1..0..2....3..0..1

%e ..0..3..0....3..3..0....2..1..3....3..0..0....3..1..2....0..2..2....1..1..3

%e ..0..2..1....0..1..1....2..3..1....2..1..3....3..2..1....2..0..3....2..1..3

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 16 2012