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

%I #6 Dec 18 2015 18:18:14

%S 1,13,357,41515,19003811,34328798853,245489633250861,

%T 6942897327251230265,776657742366634012014603,

%U 343639983448734808976866431015,601395784904377113605427806277106571

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

%C Diagonal of A218426

%H R. H. Hardin, <a href="/A218419/b218419.txt">Table of n, a(n) for n = 1..12</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 28 2012