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%I #6 Sep 07 2022 15:32:43
%S 1,3697,256849,16520553,1054361217,67441480753,4315297469409,
%T 276118155837273,17667523952980289,1130460774142233681,
%U 72332806348866425545,4628232467782206332137,296138599053919461336353
%N Hilltop maps: number of 6 X n binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, diagonal or antidiagonal neighbor in a random 0..2 6 X n array.
%C Row 6 of A219063.
%H R. H. Hardin, <a href="/A219067/b219067.txt">Table of n, a(n) for n = 1..32</a>
%e Some solutions for n=3
%e ..0..1..0....0..0..1....0..0..1....0..1..0....0..0..1....0..0..1....0..0..0
%e ..1..1..0....0..0..1....0..1..0....0..0..1....1..0..0....1..1..1....1..0..0
%e ..0..0..1....1..0..0....0..0..1....0..0..0....0..1..1....0..0..0....1..0..1
%e ..0..0..1....1..1..1....0..0..1....1..1..0....1..0..0....0..1..0....1..1..1
%e ..0..1..1....1..1..1....0..1..0....1..0..0....1..1..1....0..0..1....1..1..1
%e ..1..1..1....0..1..1....1..0..1....1..0..0....1..1..0....1..0..0....0..1..0
%Y Cf. A219063.
%K nonn
%O 1,2
%A _R. H. Hardin_, Nov 11 2012