%I #4 Oct 26 2012 19:29:56
%S 31,2007,105913,5609569,300126903,16031828359,856149291505,
%T 45726317510017,2442206384575879,130435504723928475,
%U 6966420606934069925,372069142324752766777,19871816932607721069123,1061332595121563636599299
%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..1 nX6 array
%C Column 6 of A218354
%H R. H. Hardin, <a href="/A218352/b218352.txt">Table of n, a(n) for n = 1..72</a>
%e Some solutions for n=3
%e ..1..1..0..1..1..1....0..1..1..1..0..1....1..1..1..1..1..0....0..0..1..1..0..1
%e ..0..0..1..0..1..0....1..1..0..0..0..1....0..1..0..1..1..0....1..0..1..0..1..1
%e ..1..0..0..1..1..0....0..0..0..1..0..0....0..1..1..1..1..1....1..0..1..0..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Oct 26 2012