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

%I #4 Dec 21 2013 00:46:15

%S 10370036,1577067369,244346936321,37949401327593,5875742825524762,

%T 909833241810657897,140809211523822213741,21793539963122071707141,

%U 3372765560184056944019085,521974933190476427581490842

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

%C Row 2 of A234196

%H R. H. Hardin, <a href="/A234198/b234198.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=1

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

%e ..0..0..3....0..0..1....1..2..2....0..1..0....1..2..1....1..3..1....1..2..2

%e ..0..1..0....3..3..0....1..1..0....0..2..1....1..3..0....2..2..1....0..2..0

%e ..1..3..1....2..1..1....2..1..3....0..1..1....2..2..3....2..2..1....2..1..0

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 21 2013