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Number of nX2 0..2 arrays with no element equal to the average of its horizontal and vertical neighbors
1

%I #5 Mar 31 2012 12:36:29

%S 6,34,246,1736,12450,89528,644328,4638654,33398106,240473126,

%T 1731475912,12467176650,89767756044,646357555524,4653989082594,

%U 33510269018262,241285084850682,1737332890742456,12509374882010702,90071661504230880

%N Number of nX2 0..2 arrays with no element equal to the average of its horizontal and vertical neighbors

%C Column 2 of A197442

%H R. H. Hardin, <a href="/A197436/b197436.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 7*a(n-1) +6*a(n-2) -25*a(n-3) -57*a(n-4) -7*a(n-5) +78*a(n-6) +71*a(n-7) +6*a(n-8) -18*a(n-9) -10*a(n-10) -8*a(n-11)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 15 2011