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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
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%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