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Number of (6+1)X(n+1) 0..3 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction
1

%I #4 Nov 26 2014 18:24:45

%S 233300,6325144,148821788,3135539502,59036115470,1009432228498,

%T 15971487229178,237007870055660,3338014574159778,45012529914668338,

%U 585376680395128804,7382961201465611866,90721080710158378470

%N Number of (6+1)X(n+1) 0..3 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction

%C Row 6 of A250676

%H R. H. Hardin, <a href="/A250682/b250682.txt">Table of n, a(n) for n = 1..73</a>

%e Some solutions for n=1

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 26 2014