%I #5 Dec 18 2015 18:18:16
%S 2,2,8,35,247,2482,39967,1086910,54162362,4835495936
%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 columns, 0..1 n X n array
%C Diagonal of A219354
%e Some solutions for n=3
%e ..0..0..1....1..1..1....0..0..1....0..0..1....0..0..0....0..0..0....0..0..0
%e ..0..0..1....1..1..1....0..0..1....0..0..0....0..0..0....0..0..0....0..0..0
%e ..1..1..1....1..1..1....0..0..1....0..0..0....0..0..0....1..0..0....0..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Nov 18 2012