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1/5 the number of nX4 0..4 arrays with every element equal to exactly one or two of its horizontal and vertical neighbors
1

%I #7 Mar 31 2012 12:36:03

%S 5,656,49036,4443292,378212944,32995092992,2852526229300,

%T 247462638659680,21440004040979204,1858466937288261508,

%U 161065823451839652032,13959918564726559991320,1209903218593886396425592

%N 1/5 the number of nX4 0..4 arrays with every element equal to exactly one or two of its horizontal and vertical neighbors

%C Column 4 of A185825

%H R. H. Hardin, <a href="/A185820/b185820.txt">Table of n, a(n) for n = 1..106</a>

%e Some solutions for 6X4 with a(1,1)=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..1..0....0..1..1..0....0..1..1..0....0..1..1..0....0..1..1..0

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

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

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

%e ..4..2..2..2....4..3..3..3....1..4..4..2....3..3..1..1....3..3..2..2

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 05 2011