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

%I #4 Dec 03 2012 05:43:16

%S 20,43,479,4474,32959,204056,1209492,7316891,44430342,260942687,

%T 1458406289,7769314333,39698813306,195484409069,930466275825,

%U 4292158352171,19240147010037,84029266162705,358361605456031

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

%C Column 4 of A220010

%H R. H. Hardin, <a href="/A220006/b220006.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 03 2012