login
Number of 8 X n binary arrays without the pattern 1 1 1 diagonally, vertically or antidiagonally.
1

%I #7 May 02 2023 15:23:44

%S 149,22201,1617326,148041805,13666030547,1229158478968,

%T 111642244016936,10143499802360135,920790924506170069,

%U 83620597537361329902,7594234703661480583759,689675447630925638390079

%N Number of 8 X n binary arrays without the pattern 1 1 1 diagonally, vertically or antidiagonally.

%C Row 8 of A188747.

%H R. H. Hardin, <a href="/A188753/b188753.txt">Table of n, a(n) for n = 1..200</a>

%e Some solutions for 8 X 3

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

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

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

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

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

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

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

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

%Y Cf. A188747.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 09 2011