%I
%S 4,23,673,87083,43792361,86755752059,664221777830589
%N Number of n X n arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..3 n X n array
%C Diagonal of A219471
%e Some solutions for n=3
%e ..0..0..2....0..0..0....0..0..2....0..0..2....0..0..0....1..1..2....2..2..2
%e ..1..1..1....0..0..1....2..2..3....1..1..2....0..0..0....2..3..3....2..1..1
%e ..2..1..2....3..1..1....3..0..0....2..0..0....0..0..0....3..3..3....3..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Nov 20 2012
