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Number of (n+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
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%I #4 Nov 26 2014 19:53:35

%S 104,2920,74631,1670016,31728758,523260542,7662909389

%N Number of (n+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 Diagonal of A250691

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 26 2014