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Number of 7Xn 0..3 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero
1

%I #4 Nov 03 2013 16:36:53

%S 0,0,5208,318864,19662930,1459796386,110728004898,8325135556908,

%T 625222341211040,46996413742719636,3534106116006985318,

%U 265800575748345313780,19992347081347722743586,1503799843607486738579460

%N Number of 7Xn 0..3 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero

%C Row 7 of A231108

%H R. H. Hardin, <a href="/A231113/b231113.txt">Table of n, a(n) for n = 1..33</a>

%e Some solutions for n=4

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

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

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

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

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

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

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

%K nonn

%O 1,3

%A _R. H. Hardin_, Nov 03 2013