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Hilltop maps: number of 7Xn binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..1 7Xn array
1

%I #4 Jan 17 2013 05:11:30

%S 1,4063,437437,36364977,3888200065,414116287743,43045366565233,

%T 4487793927664209,468786655087266657,48944887790539796639,

%U 5109638176609475597301,533452901877309087321537

%N Hilltop maps: number of 7Xn binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..1 7Xn array

%C Row 7 of A221446

%H R. H. Hardin, <a href="/A221452/b221452.txt">Table of n, a(n) for n = 1..45</a>

%e Some solutions for n=3

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

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

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

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Jan 17 2013