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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 columns, 0..1 n X n array
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%I #5 Dec 18 2015 18:18:16

%S 2,3,19,149,1751,35654,1455308,127423164,23439798583

%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 columns, 0..1 n X n array

%C Diagonal of A219291

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 17 2012