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Number of n X n arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 n X n array
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%I #5 Dec 18 2015 18:18:22

%S 4,4,71,1605,91972,12642165

%N Number of n X n arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 n X n array

%C Diagonal of A219802

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 28 2012