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Half the number of nX4 0..3 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors
1

%I #5 Mar 31 2012 12:35:52

%S 8,407,9667,240358,5987795,149355515,3724940988,92915045150,

%T 2317648165893,57811518197886,1442053664104187,35970710709296927,

%U 897256757776720016,22381259751777880373,558280348730102033060

%N Half the number of nX4 0..3 arrays with each element equal to either the maximum or the minimum of its horizontal and vertical neighbors

%C Column 4 of A183584

%H R. H. Hardin, <a href="/A183579/b183579.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions with a(1,1)<=1 for 3X4

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 05 2011