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

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

%S 16955,2052727,375775257,76421483407,15852623627426,3300774182686057,

%T 687760437018264199,143323394012947339038,29868139295656105901476,

%U 6224456016674663414711676,1297164488972062217238704659

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

%C Column 5 of A205440

%H R. H. Hardin, <a href="/A205437/b205437.txt">Table of n, a(n) for n = 1..69</a>

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 27 2012