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Number of 6 X n binary arrays without the pattern 0 0 1 diagonally, antidiagonally or horizontally.
1

%I #9 Nov 13 2014 04:17:33

%S 64,4096,50397,481552,5746968,68635317,830564651,9918543104,

%T 118359133086,1403545047813,16623051784264,196302833267970,

%U 2316321573987569,27295062115112489,321503206233291862,3784551169051600902

%N Number of 6 X n binary arrays without the pattern 0 0 1 diagonally, antidiagonally or horizontally.

%C Row 6 of A189264.

%H R. H. Hardin, <a href="/A189268/b189268.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 6 X 3:

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

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

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

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

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

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

%Y Cf. A189264.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 19 2011