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Hilltop maps: number of nX6 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or vertical neighbor in a random 0..2 nX6 array
1

%I #4 Oct 23 2012 08:45:25

%S 49,3697,243953,15491481,986715373,62898202889,4010296932181,

%T 255691410570153,16302319940388693,1039399046535129357,

%U 66269738827040491989,4225209395073151758765,269389846510288006570825

%N Hilltop maps: number of nX6 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or vertical neighbor in a random 0..2 nX6 array

%C Column 6 of A218206

%H R. H. Hardin, <a href="/A218204/b218204.txt">Table of n, a(n) for n = 1..54</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 23 2012