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A205746 Number of (n+1)X(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.

%I A205746 #7 Jul 22 2025 18:59:41
%S A205746 14,284,8926,383290,28155907,2917623614,528507252157,138111752968498,
%T A205746 64850139038419406,44000031319042068352
%N A205746 Number of (n+1)X(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.
%C A205746 Diagonal of A205753
%e A205746 Some solutions for n=4
%e A205746 ..0..1..0..0..2....0..0..0..0..0....0..0..1..2..0....0..1..0..1..2
%e A205746 ..1..1..0..2..2....0..0..0..0..0....1..0..1..2..2....2..1..2..1..0
%e A205746 ..0..2..0..1..0....2..1..2..1..2....1..2..1..0..1....0..2..1..2..1
%e A205746 ..2..0..1..2..1....2..1..2..2..2....0..1..2..1..2....2..2..2..2..2
%e A205746 ..0..0..1..2..1....2..0..0..1..0....2..1..0..0..2....0..1..0..1..0
%K A205746 nonn
%O A205746 1,1
%A A205746 _R. H. Hardin_ Jan 30 2012