%I #4 Nov 13 2012 08:49:57
%S 21,182,8024,276278,7275277,165134835,3500147133,69563364248,
%T 1285723371646,22151016035853,358684805164819,5502526367073485,
%U 80411619958056738,1123911981800696323,15077169804309304714
%N Number of nX6 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..2 nX6 array
%C Column 6 of A219173
%H R. H. Hardin, <a href="/A219171/b219171.txt">Table of n, a(n) for n = 1..16</a>
%e Some solutions for n=3
%e ..1..1..0..2..2..2....0..0..0..0..0..2....0..0..1..1..1..1....0..0..0..0..1..2
%e ..1..0..0..0..2..2....0..0..0..0..0..0....0..1..0..1..1..1....0..0..0..1..2..2
%e ..2..0..0..0..2..2....0..2..1..1..0..2....2..0..0..0..1..1....0..0..0..1..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Nov 13 2012