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Number of 7Xn 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally or antidiagonally, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order
1

%I #4 Dec 06 2013 05:48:35

%S 6896,152986472,4187991850726,114934898294104873,

%T 3154729081272072714436,86591682356567376541898371,

%U 2376789549887845473135654118063,65238704957423784569815168199528386

%N Number of 7Xn 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally or antidiagonally, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order

%C Row 7 of A233217

%H R. H. Hardin, <a href="/A233223/b233223.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=2

%e ..0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0

%e ..0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0

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

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

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

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

%e ..1..0....5..5....2..0....5..5....2..5....3..0....3..4....3..1....0..4....0..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 06 2013