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Number of 5Xn 0..2 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero
1

%I #4 Oct 20 2013 06:59:24

%S 0,30,16926,2593962,281740616,33169633760,3934875952932,

%T 468738681959950,55761205442553620,6632928807891253950,

%U 788965363164447297996,93846883723526687128242,11163030352379441952730540

%N Number of 5Xn 0..2 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero

%C Row 5 of A230469

%H R. H. Hardin, <a href="/A230473/b230473.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_, Oct 20 2013