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A205752 Number of (n+1)X8 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 A205752 #7 Jul 22 2025 19:00:31
%S A205752 46709,279504,7401826,88143754,1885888870,26828234464,528507252157,
%T A205752 8142071823898,150897062896760,2433101515248386,43576907137276890,
%U A205752 720763526062990940,12660252875952041246,212486499238257674586
%N A205752 Number of (n+1)X8 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 A205752 Column 7 of A205753
%H A205752 R. H. Hardin, <a href="/A205752/b205752.txt">Table of n, a(n) for n = 1..136</a>
%e A205752 Some solutions for n=4
%e A205752 ..0..1..1..0..2..2..1..0....0..0..1..1..0..2..1..2....0..0..0..1..0..0..2..0
%e A205752 ..0..0..0..0..0..2..1..1....2..0..1..0..0..2..1..1....1..0..1..1..1..0..0..0
%e A205752 ..1..2..1..2..1..2..0..2....1..0..2..2..1..2..0..2....2..2..2..0..2..2..1..2
%e A205752 ..2..2..2..2..1..2..0..2....0..0..0..2..1..2..2..2....0..0..0..0..2..1..1..1
%e A205752 ..1..0..1..0..0..2..1..1....1..2..1..2..0..0..1..0....2..1..2..1..2..0..2..0
%K A205752 nonn
%O A205752 1,1
%A A205752 _R. H. Hardin_ Jan 30 2012