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Number of (n+1)X(n+1) 0..2 arrays with no 2X2 subblock having the same number of equal edges as its horizontal or vertical neighbors, and new values 0..2 introduced in row major order

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`%I #5 Mar 31 2012 12:37:06
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`%S 14,550,48401,8952876,3619876639,3232900348158
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`%N Number of (n+1)X(n+1) 0..2 arrays with no 2X2 subblock having the same number of equal edges as its horizontal or vertical neighbors, and new values 0..2 introduced in row major order
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`%C Diagonal of A205590
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`%e Some solutions for n=4
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`%e ..0..1..0..0..2....0..1..1..0..2....0..0..1..1..2....0..0..0..0..0
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`%e ..0..0..2..1..0....1..2..2..2..2....0..1..2..1..0....1..0..0..2..1
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`%e ..0..0..0..2..2....1..1..0..2..2....2..1..1..0..0....2..1..0..1..0
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`%e ..1..1..2..2..2....0..2..1..1..1....0..2..0..0..0....1..1..2..0..0
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`%e ..2..0..1..0..0....1..0..0..1..1....0..0..1..2..2....1..1..1..0..0
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`%K nonn
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`%O 1,1
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`%A _R. H. Hardin_ Jan 29 2012
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