%I #5 Dec 18 2015 18:18:22
%S 3,4,31,427,8964,344926,35011623,10451333258
%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 nonincreasing columns, 0..2 n X n array
%C Diagonal of A219686
%e Some solutions for n=3
%e ..1..0..0....1..0..0....1..1..0....2..0..0....0..0..0....1..0..0....0..0..0
%e ..1..0..0....1..0..0....1..0..0....2..0..0....0..0..0....0..0..0....0..0..0
%e ..1..1..2....2..2..2....2..0..0....2..2..2....2..2..2....0..0..1....2..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Nov 25 2012