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Half the number of n X 5 binary arrays with the number of 1-1 horizontal, vertical, diagonal and antidiagonal adjacencies equal to the number of 0-0 adjacencies.
1

%I #12 Jun 28 2024 04:22:43

%S 3,60,116,28440,150979,20021342,174883800,15784256016,190371233229,

%T 13214123612340,200102144807730,11502955439818200,205999922595853530,

%U 10299233834557356076,209367465185057238144,9421571590734744149556,211077609046668511646118,8765504736339948725175906

%N Half the number of n X 5 binary arrays with the number of 1-1 horizontal, vertical, diagonal and antidiagonal adjacencies equal to the number of 0-0 adjacencies.

%C Column 5 of A183289.

%H R. H. Hardin, <a href="/A183286/b183286.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 4 X 5 with a(1,1) = 0:

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

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

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

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

%Y Cf. A183289.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 03 2011