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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 min(x(i,j),x(i-1,j)) in the j direction
1

%I #4 Nov 26 2014 22:14:29

%S 138957,3020711,55337801,770143684,8760011881,85271480338,

%T 740660856529,5881182605467,43683438362156,307067416264307,

%U 2069449448447282,13455140588648139,85082498904491499,525186983204091582

%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 min(x(i,j),x(i-1,j)) in the j direction

%C Row 6 of A250707

%H R. H. Hardin, <a href="/A250713/b250713.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=1

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 26 2014