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Number of (4+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 18:23:29

%S 11736,210158,3107446,41503790,505108522,5726252240,61498698426,

%T 632850763138,6297768773474,61000028098516,578059653008102,

%U 5380105017634102,49331581021446126,446710039295094002

%N Number of (4+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 4 of A250676

%H R. H. Hardin, <a href="/A250680/b250680.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=1

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 26 2014