%I #4 Nov 27 2012 06:16:18
%S 6,10,56,283,1229,4837,17259,57116,176642,515209,1431352,3813222,
%T 9775422,24160092,57653822,133042327,297375601,644960872,1359688507,
%U 2791062631,5587702747,10926837537,20901070563,39158211715,71941484958,129753179631
%N Number of 5Xn 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..1 5Xn array
%C Row 5 of A219773
%H R. H. Hardin, <a href="/A219776/b219776.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (1/22230464256000)*n^17 + (1/1307674368000)*n^16 - (1/16144128000)*n^15 + (983/261534873600)*n^14 - (497/8895744000)*n^13 - (9503/14370048000)*n^12 + (9180461/100590336000)*n^11 - (6185839/1828915200)*n^10 + (37785191/508032000)*n^9 - (242129257/285768000)*n^8 - (416078947/171072000)*n^7 + (16333341953/57480192)*n^6 - (1793379350418457/326918592000)*n^5 + (3162447498534721/54486432000)*n^4 - (3078524236602851/9081072000)*n^3 + (103486486753073/151351200)*n^2 + (419755260373/145860)*n - 13291737 for n>19
%e Some solutions for n=3
%e ..0..0..0....0..0..0....0..0..0....0..0..0....0..0..1....0..0..1....0..0..1
%e ..0..0..0....0..0..1....0..0..1....0..0..0....1..1..1....0..0..0....0..0..1
%e ..0..0..0....1..0..0....1..1..1....0..0..0....1..1..1....0..0..0....0..0..1
%e ..0..0..0....1..0..0....1..1..1....0..0..0....1..1..1....0..0..0....0..0..0
%e ..0..0..0....1..0..0....1..1..1....1..0..0....1..1..1....0..0..0....0..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Nov 27 2012