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Number of 7Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 7Xn array
1

%I #4 Nov 21 2012 05:15:27

%S 8,18,124,1090,6994,42906,241413,1327694,7148589,37181863,185383785,

%T 881615968,4010119499,17516997873,73780512955,300596497963,

%U 1187489293042,4557540770898,17022492697401,61969041626283,220187547195208

%N Number of 7Xn arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 7Xn array

%C Row 7 of A219519

%H R. H. Hardin, <a href="/A219524/b219524.txt">Table of n, a(n) for n = 1..49</a>

%e Some solutions for n=3

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 21 2012