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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 min(x(i,j),x(i-1,j)) in the j direction
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%I #4 Nov 26 2014 22:03:36

%S 100,4958,301632,19962956,1325146542,85271480338,5300798582250,

%T 321304832475298,19214828391609706,1144064129571045403,

%U 68214697806201152135,4084627265006830276517

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

%C Diagonal of A250707

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 26 2014