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Number of (n+1)X6 0..3 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..3 introduced in row major order
1

%I #5 Mar 31 2012 12:37:06

%S 16955,946066,57807612,3504441046,219511132715,13403364530330,

%T 833667153942097,51183941619859368,3173982363816159170,

%U 195291654121671389936,12088727680335871598955,744871637305160867625274

%N Number of (n+1)X6 0..3 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..3 introduced in row major order

%C Column 5 of A205609

%H R. H. Hardin, <a href="/A205606/b205606.txt">Table of n, a(n) for n = 1..75</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 29 2012