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Hilltop maps: number of n X n binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, diagonal or antidiagonal neighbor in a random 0..2 n X n array
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%I #5 Dec 18 2015 18:18:15

%S 1,15,503,64577,32958333,67441480753,552229937914889,

%T 18087169043098830871

%N Hilltop maps: number of n X n binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, diagonal or antidiagonal neighbor in a random 0..2 n X n array

%C Diagonal of A219063

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Nov 11 2012