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Number of (n+1)X6 0..3 arrays with every 2X2 subblock having nonzero determinant and having the same number of clockwise edge increases as its horizontal and vertical neighbors
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%I #5 Mar 31 2012 12:37:07

%S 462040,77757894,14312320196,2656185934184,492612437238998,

%T 91342751431917271,16933907492912073872,3139181759928267573682,

%U 581918239365879746359719,107870252944691557966360427

%N Number of (n+1)X6 0..3 arrays with every 2X2 subblock having nonzero determinant and having the same number of clockwise edge increases as its horizontal and vertical neighbors

%C Column 5 of A205768

%H R. H. Hardin, <a href="/A205765/b205765.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for 5X5

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 30 2012