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1/128 the number of (n+2) X (n+2) binary arrays with each 3 X 3 subblock trace equal to some horizontal or vertical neighbor 3 X 3 subblock trace.
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%I #11 Oct 28 2014 03:48:53

%S 0,76,8948,2854756,2340935640,5140797159777,29671205957160911,

%T 453752833171594711936,18348281443087840943497571

%N 1/128 the number of (n+2) X (n+2) binary arrays with each 3 X 3 subblock trace equal to some horizontal or vertical neighbor 3 X 3 subblock trace.

%C Diagonal of A185993.

%e Some solutions for 4 X 4:

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

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

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

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

%Y Cf. A185993.

%K nonn,more

%O 1,2

%A _R. H. Hardin_, Feb 08 2011