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Number of (n+1)X(2+1) 0..3 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 6
1

%I #4 Dec 14 2013 16:16:48

%S 184,928,4448,23568,117744,621904,3145968,16510480,84078896,439062352,

%T 2245617264,11685468816,59942627248,311163102672,1599399124208,

%U 8288575974672,42663225570864,220838397708368,1137797259858800

%N Number of (n+1)X(2+1) 0..3 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 6

%C Column 2 of A233682

%H R. H. Hardin, <a href="/A233676/b233676.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) +11*a(n-2) -157*a(n-3) +202*a(n-4) +554*a(n-5) -1224*a(n-6) -112*a(n-7) +1584*a(n-8) -928*a(n-9) +64*a(n-10)

%e Some solutions for n=5

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2013