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Number of nX7 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nX7 array
1

%I #4 Nov 17 2012 05:42:51

%S 7,18,220,2623,22970,185295,1455308,11001188,78655701,530818425,

%T 3400770086,20765160878,121095265926,675886798131,3619746974319,

%U 18647969101899,92619652248187,444385154988709,2063495070975608

%N Number of nX7 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nX7 array

%C Column 7 of A219291

%H R. H. Hardin, <a href="/A219290/b219290.txt">Table of n, a(n) for n = 1..41</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 17 2012