%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