%I #4 Nov 03 2012 13:44:35
%S 1,2849,224643,14309253,906390787,57707873919,3679019688741,
%T 234587060833513,14956980852954693,953622639363956241,
%U 60800788454758533673,3876520842651206103055,247158250520323924145773
%N Hilltop maps: number of 6Xn binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..2 6Xn array
%C Row 6 of A218592
%H R. H. Hardin, <a href="/A218597/b218597.txt">Table of n, a(n) for n = 1..74</a>
%e Some solutions for n=3
%e ..0..0..0....0..1..0....0..0..0....0..1..0....0..1..1....0..1..1....0..0..1
%e ..1..1..0....1..0..1....1..0..1....1..0..1....0..1..0....0..1..1....1..1..1
%e ..1..1..1....0..0..1....1..1..1....0..1..1....1..0..1....1..1..1....1..1..0
%e ..1..1..0....1..1..0....0..0..0....0..0..1....1..0..0....1..0..1....1..0..0
%e ..0..1..0....0..1..0....1..0..1....0..1..0....1..1..1....0..1..1....1..0..0
%e ..0..0..1....1..0..1....1..1..0....1..0..0....1..0..1....0..1..1....0..1..1
%K nonn
%O 1,2
%A _R. H. Hardin_ Nov 03 2012