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Number of (n+4)X10 binary arrays with every 1 having exactly three king-move neighbors equal to 1 but with no 2X2 blocks of 1s
1

%I #5 Mar 31 2012 12:35:51

%S 21,309,1621,6125,42613,248303,1724088,13731628,97119162,756707222,

%T 6200379979,47495092665,381529656480,3147373531932,24939108924275,

%U 202897330702581,1669347485119689,13414358001681700,109481811441992527

%N Number of (n+4)X10 binary arrays with every 1 having exactly three king-move neighbors equal to 1 but with no 2X2 blocks of 1s

%C Column 6 of A183465

%H R. H. Hardin, <a href="/A183463/b183463.txt">Table of n, a(n) for n = 1..54</a>

%e Some solutions for 7X10

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 05 2011