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Number of 7X(n+1) 0..2 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..2 introduced in row major order

1

`%I #5 Mar 31 2012 12:37:07
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`%S 69338,542718,3797920,34977686,292986186,2917623614,26828234464,
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`%T 279459906314,2723713739666,29190925331248,295846244829092,
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`%U 3230320670138002,33638289242782070,371863257488907590
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`%N Number of 7X(n+1) 0..2 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..2 introduced in row major order
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`%C Row 6 of A205753
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`%H R. H. Hardin, <a href="/A205758/b205758.txt">Table of n, a(n) for n = 1..28</a>
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`%e Some solutions for n=4
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`%e ..0..1..0..2..1....0..0..0..0..0....0..1..2..2..2....0..1..0..1..0
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`%e ..2..0..1..0..2....0..1..1..1..1....1..1..1..1..2....0..0..0..1..0
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`%e ..2..0..0..0..0....2..2..0..2..0....2..0..2..0..2....2..1..2..2..2
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`%e ..1..1..2..1..2....0..2..2..2..2....2..0..2..2..2....1..1..1..2..1
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`%e ..0..1..1..1..1....1..1..0..1..0....2..1..1..0..1....0..2..0..2..0
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`%e ..2..2..0..2..0....1..0..0..0..0....2..1..0..0..0....0..0..0..2..0
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`%e ..2..0..0..2..0....2..2..1..2..1....0..1..2..1..2....1..2..1..2..1
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`%K nonn
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`%O 1,1
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`%A _R. H. Hardin_ Jan 30 2012
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