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%I #4 Nov 24 2012 08:22:10
%S 6,24,130,566,2134,7259,22715,66250,181791,472662,1171147,2778770,
%T 6339690,13957189,29741892,61507243,123727812,242584792,464390356,
%U 869376931,1593851835,2865176320,5056094746,8767828033,14955331206
%N Number of nX3 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..2 nX3 array
%C Column 3 of A219627
%H R. H. Hardin, <a href="/A219622/b219622.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (1/20922789888000)*n^16 + (1/290594304000)*n^15 + (1/13586227200)*n^14 + (19/12454041600)*n^13 + (5681/114960384000)*n^12 + (727/1197504000)*n^11 + (2225/292626432)*n^10 + (18871/203212800)*n^9 + (11673913/20901888000)*n^8 + (1640347/124416000)*n^7 - (546743053/5748019200)*n^6 + (21980969/29937600)*n^5 + (27582691091/13208832000)*n^4 - (569796798931/18162144000)*n^3 + (572483759/4118400)*n^2 - (176846477/720720)*n + 146 for n>3
%e Some solutions for n=3
%e ..0..0..2....0..0..1....0..0..0....1..1..1....0..0..0....0..0..0....1..1..1
%e ..0..0..2....1..1..1....0..0..0....1..1..1....0..0..1....0..1..2....1..1..0
%e ..2..2..2....2..0..0....2..0..0....1..2..2....1..2..2....2..1..1....0..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Nov 24 2012
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