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Hilltop maps: number of nX6 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or vertical neighbor in a random 0..1 nX6 array
2

%I #4 Oct 26 2012 19:29:56

%S 31,2007,105913,5609569,300126903,16031828359,856149291505,

%T 45726317510017,2442206384575879,130435504723928475,

%U 6966420606934069925,372069142324752766777,19871816932607721069123,1061332595121563636599299

%N Hilltop maps: number of nX6 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or vertical neighbor in a random 0..1 nX6 array

%C Column 6 of A218354

%H R. H. Hardin, <a href="/A218352/b218352.txt">Table of n, a(n) for n = 1..72</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Oct 26 2012