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%I #4 Dec 01 2012 07:47:15
%S 6,6,24,62,155,356,789,1716,3676,7708,15724,31125,59808,111782,203708,
%T 362808,632759,1082409,1818433,3003399,4881149,7811931,12320359,
%U 19160044,29399646,44536162,66642506,98557873,144131030,208528564,298622262
%N Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nX3 array
%C Column 3 of A219915
%H R. H. Hardin, <a href="/A219910/b219910.txt">Table of n, a(n) for n = 1..196</a>
%F Empirical: a(n) = (1/39916800)*n^11 - (1/907200)*n^10 + (5/145152)*n^9 - (17/30240)*n^8 + (659/134400)*n^7 + (587/43200)*n^6 - (80861/145152)*n^5 + (10118/2835)*n^4 + (994429/907200)*n^3 - (1059433/12600)*n^2 + (417125/1386)*n - 304 for n>6
%e Some solutions for n=3
%e ..1..1..1....1..0..0....1..1..1....1..0..0....0..0..0....2..1..1....1..1..1
%e ..1..1..1....0..0..0....1..1..1....1..0..0....0..0..0....2..1..1....1..1..1
%e ..2..1..1....0..0..0....1..1..1....2..0..0....1..1..2....2..2..2....2..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Dec 01 2012
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