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Number of (n+1)X(n+1) 0..2 arrays with every 2X2 subblock having two distinct values, and new values 0..2 introduced in row major order
0

%I #5 Mar 31 2012 12:37:30

%S 7,280,32800,11857440,13410113952,48053885453696,549425473875967488,

%T 20157265447359860793760,2382356941753966065667915808,

%U 909958586859400389363702903272960

%N Number of (n+1)X(n+1) 0..2 arrays with every 2X2 subblock having two distinct values, and new values 0..2 introduced in row major order

%C Diagonal of A209897

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 14 2012