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Hilltop maps: number of nX7 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or vertical neighbor in a random 0..1 nX7 array
2

%I #4 Oct 26 2012 19:30:44

%S 57,7361,757305,78394141,8199377227,856149291505,89373230342147,

%T 9330728065217697,974144457139164177,101701766819321353361,

%U 10617786795585969799967,1108509971334366966147185

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

%C Column 7 of A218354

%H R. H. Hardin, <a href="/A218353/b218353.txt">Table of n, a(n) for n = 1..34</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 26 2012