%I #4 Nov 28 2012 16:52:10
%S 6,15,62,169,414,987,2359,5569,12737,27982,59028,119947,235727,449688,
%T 835225,1513962,2683186,4656429,7922316,13228338,21698084,34992721,
%U 55530195,86778791,133645391,202983064,304247572,450338045,658663533
%N Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nX3 array
%C Column 3 of A219816
%H R. H. Hardin, <a href="/A219811/b219811.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (1/13305600)*n^11 - (1/725760)*n^10 + (1/51840)*n^9 + (1/6048)*n^8 - (5437/1209600)*n^7 + (2519/34560)*n^6 - (1003/3024)*n^5 - (47861/72576)*n^4 + (820873/64800)*n^3 - (230969/10080)*n^2 - (577453/27720)*n + 76 for n>4
%e Some solutions for n=3
%e ..0..0..0....0..0..0....1..0..0....0..0..0....0..0..0....2..0..0....0..0..0
%e ..1..0..0....0..0..0....2..0..0....0..0..0....0..0..0....2..2..0....2..0..0
%e ..2..1..0....2..0..0....2..1..0....0..0..0....1..1..1....2..2..2....2..2..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Nov 28 2012