%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