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Number of nX4 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 columns, 0..3 nX4 array
1

%I #4 Nov 20 2012 10:13:29

%S 20,26,498,3422,27967,197308,1324860,8405212,51417327,303703636,

%T 1731421125,9525742325,50654533963,260914306516,1304341448963,

%U 6337774514024,29964888604613,137989085373438,619551753355165

%N Number of nX4 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 columns, 0..3 nX4 array

%C Column 4 of A219460

%H R. H. Hardin, <a href="/A219456/b219456.txt">Table of n, a(n) for n = 1..47</a>

%e Some solutions for n=3

%e ..0..0..0..2....0..0..1..1....1..1..1..2....0..0..1..2....0..0..0..3

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

%e ..1..1..1..2....2..2..1..1....1..1..1..3....2..2..2..3....2..2..2..2

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 20 2012