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Number of (n+1)X(n+1) 0..2 arrays with nondecreasing min(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 29 2014 14:58:18

%S 40,872,21955,590305,16381510,469255626,13747683580,414063800414,

%T 12788596731195

%N Number of (n+1)X(n+1) 0..2 arrays with nondecreasing min(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 A250994

%e Some solutions for n=3

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 29 2014