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Number of (5+2) X (n+2) 0..2 arrays with no increasing sequence of length 3 horizontally or antidiagonally downwards.
1

%I #6 Oct 31 2023 19:06:54

%S 6662227346,8830686982464,11844001767009636,15945021790711870267,

%T 21465796875243969838158,28893821790971432538593721,

%U 38891474395238135873952939275,52348636088492787343552168148472

%N Number of (5+2) X (n+2) 0..2 arrays with no increasing sequence of length 3 horizontally or antidiagonally downwards.

%C Row 5 of A233497.

%H R. H. Hardin, <a href="/A233502/b233502.txt">Table of n, a(n) for n = 1..58</a>

%e Some solutions for n=1

%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..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0....0..0..0

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

%e ..0..2..1....0..0..2....0..0..2....0..2..1....0..2..0....0..0..0....0..1..0

%e ..1..2..0....2..2..2....2..0..0....0..2..1....2..0..1....2..0..2....1..1..2

%e ..0..0..1....1..1..2....0..1..1....2..2..1....0..1..1....2..1..0....0..0..0

%e ..1..2..2....1..0..1....1..0..2....2..1..0....2..2..2....1..0..1....0..2..0

%Y Cf. A233497.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 11 2013