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Number of n X n arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 n X n array
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%I #5 Dec 18 2015 18:18:22

%S 3,7,84,1114,26006,1767430,415752625

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

%C Diagonal of A219595

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 23 2012