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

%I #4 Dec 14 2013 08:13:00

%S 324,3004,26192,238570,2118568,19123682,170872144,1536664586,

%T 13763062452,123586823454,1107950019012,9942988603154,89172232214800,

%U 800059336063782,7176304451952648,64380100876459694,577506337320638840

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

%C Column 3 of A233644

%H R. H. Hardin, <a href="/A233639/b233639.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +76*a(n-2) -5*a(n-3) -1165*a(n-4) +564*a(n-5) +5703*a(n-6) -4723*a(n-7) -9217*a(n-8) +10950*a(n-9) +1714*a(n-10) -5684*a(n-11) +1880*a(n-12) -96*a(n-13)

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2013