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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..3 nX7 array
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%I #4 Nov 06 2012 17:42:33

%S 113,15871,2030789,259935681,33267198605,4257699787069,

%T 544920898689805,69741601368666737,8925866282195274093,

%U 1142375383410178607437,146206707061580643526877,18712238989313795368235025

%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..3 nX7 array

%C Column 7 of A218810

%H R. H. Hardin, <a href="/A218809/b218809.txt">Table of n, a(n) for n = 1..156</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 06 2012