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Hilltop maps: number of nX7 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..1 nX7 array
1

%I #4 Jan 17 2013 05:05:57

%S 57,5785,543081,51186449,4832005625,456064257841,43045366565233,

%T 4062814670687601,383466625153100089,36193296042509422929,

%U 3416085237442369485553,322425410952503720400913

%N Hilltop maps: number of nX7 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..1 nX7 array

%C Column 7 of A221446

%H R. H. Hardin, <a href="/A221445/b221445.txt">Table of n, a(n) for n = 1..50</a>

%e Some solutions for n=3

%e ..0..1..1..1..1..0..1....0..1..1..1..1..0..1....0..1..1..1..1..1..1

%e ..0..1..1..1..0..0..1....0..0..1..1..1..1..0....0..0..1..0..0..0..1

%e ..0..1..0..1..1..1..1....0..1..1..0..0..1..1....0..1..0..0..1..1..1

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 17 2013