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Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in an em 1,1 1,2 2,2 2,3 3,3 in any orientation.
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%I #3 Mar 31 2012 12:35:09

%S 1,1,1,1,1,1,55,103,1119,2577,44665,124149,7114043,25427717,

%T 3924887627,18243132743,3963931303667,23264020620581,

%U 10118413718310299,75049948209301973,78694111409932613371,745465591245660563073

%N Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in an em 1,1 1,2 2,2 2,3 3,3 in any orientation.

%e Maximal 8 X 8 example

%e .0.1.1.0.0.1.1.0

%e .1.1.0.0.0.0.1.1

%e .1.0.0.0.0.0.0.1

%e .0.1.1.0.0.1.1.0

%e .1.1.0.0.0.0.1.1

%e .1.0.1.0.0.1.0.1

%e .0.1.1.0.0.1.1.0

%e .1.1.0.0.0.0.1.1

%K nonn

%O 1,7

%A _R. H. Hardin_, Oct 27 2008