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Number of (n+1)X(n+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)-x(i-1,j) in the j direction
0

%I #4 Nov 24 2014 20:04:13

%S 50,1180,21955,300131,3183434,27910024,212707851,1462376991,

%T 9314700106,56025183452,322542598187

%N Number of (n+1)X(n+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)-x(i-1,j) in the j direction

%C Diagonal of A250527

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 24 2014