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%I #4 Nov 11 2012 14:26:51
%S 1,2007,137251,6879341,407374825,24734141495,1473655240387,
%T 87658679181837,5224891480887673,311448275014507959,
%U 18561000349587530731,1106162872162349349293,65924427026919551179361
%N Hilltop maps: number of 6Xn binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, diagonal or antidiagonal neighbor in a random 0..1 6Xn array
%C Row 6 of A219078
%H R. H. Hardin, <a href="/A219083/b219083.txt">Table of n, a(n) for n = 1..23</a>
%e Some solutions for n=3
%e ..0..1..0....0..1..0....0..1..1....1..0..1....0..1..0....1..0..1....0..1..1
%e ..1..1..1....0..0..1....0..1..0....0..1..0....0..1..1....1..1..1....0..0..0
%e ..0..0..1....1..0..0....0..1..1....0..1..0....1..1..0....1..1..0....0..1..1
%e ..0..0..0....0..1..0....1..0..1....0..1..0....0..0..1....0..1..1....1..1..1
%e ..1..1..1....0..0..1....0..1..1....1..1..0....1..0..0....0..1..1....0..1..0
%e ..0..1..1....0..1..0....1..0..0....1..1..1....0..1..1....1..0..1....1..0..0
%K nonn
%O 1,2
%A _R. H. Hardin_ Nov 11 2012