%I #7 Nov 22 2023 21:05:02
%S 3,7,84,2275,143187,23986853,10160088596
%N Number of n X n arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 n X n array.
%C Diagonal of A219381.
%e Some solutions for n=3
%e ..1..1..2....0..0..1....0..0..1....1..1..2....0..0..2....0..0..1....0..0..1
%e ..1..1..2....1..0..1....1..0..0....1..1..2....1..0..2....0..0..0....0..0..1
%e ..1..1..2....1..2..1....2..0..0....2..1..2....1..1..2....1..0..0....2..0..2
%Y Cf. A219381.
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 19 2012