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Number of 6Xn 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..2 6Xn array
1

%I #4 Nov 25 2012 04:55:38

%S 21,60,655,5726,44816,344926,2709320,21474269,167685059,1273322836,

%T 9386203438,67340577300,471427290355,3224592437317,21562151377146,

%U 141010883018273,902366368908706,5653483899077449,34695071833947322

%N Number of 6Xn 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..2 6Xn array

%C Row 6 of A219686

%H R. H. Hardin, <a href="/A219690/b219690.txt">Table of n, a(n) for n = 1..41</a>

%e Some solutions for n=3

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 25 2012