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Number of n X n arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 n X n array
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%I #5 Dec 18 2015 18:18:16

%S 3,7,77,1540,80488,10000720,2898775988,2236908145276

%N Number of n X n arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 n X n array

%C Diagonal of A219299

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 17 2012