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Number of nX6 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 nX6 array
1

%I #4 Nov 17 2012 07:02:58

%S 21,103,2361,42938,696879,10000720,132409292,1666872519,20066430819,

%T 230659006886,2533164156501,26642899561323,269106482492802,

%U 2617519574246115,24584394461026549,223533029891507710

%N Number of nX6 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 nX6 array

%C Column 6 of A219299

%H R. H. Hardin, <a href="/A219297/b219297.txt">Table of n, a(n) for n = 1..52</a>

%e Some solutions for n=3

%e ..0..0..0..0..1..2....0..0..0..0..1..2....0..0..0..0..0..0....0..0..0..1..1..2

%e ..0..0..0..1..1..2....0..0..0..1..1..1....0..0..0..0..0..2....0..0..1..1..2..2

%e ..0..1..1..1..1..2....0..0..2..1..1..1....1..1..0..0..0..2....0..0..1..2..2..2

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 17 2012