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Number of 6Xn arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 6Xn array
1

%I #4 Nov 28 2012 16:57:40

%S 21,106,987,7689,62341,510090,3967857,29319493,208512645,1441204373,

%T 9713994355,63854007986,409453128441,2564303057258,15708490300528,

%U 94235635007292,554048642536232,3194247904837607,18067158627074107

%N Number of 6Xn arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 6Xn array

%C Row 6 of A219816

%H R. H. Hardin, <a href="/A219820/b219820.txt">Table of n, a(n) for n = 1..20</a>

%e Some solutions for n=3

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 28 2012