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Number of 5Xn 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 16:35:32

%S 0,0,208,3936,75346,1608428,34716434,745738376,16008740616,

%T 343710683498,7379808223044,158453102807678,3402179758062160,

%U 73048972852021136,1568451546991501818,33676593841059669470,723078147640347151670

%N Number of 5Xn 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 5 of A231108

%H R. H. Hardin, <a href="/A231111/b231111.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,3

%A _R. H. Hardin_, Nov 03 2013