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Hilltop maps: number of n X 6 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, vertical or antidiagonal neighbor in a random 0..3 n X 6 array.
1

%I #6 Apr 30 2022 20:41:33

%S 57,4033,261121,16744435,1071613317,68583014753,4389308736641,

%T 280915626315891,17978591986163097,1150629370448189409,

%U 73640246650330923779,4712973669728804088699,301630179445484189338797

%N Hilltop maps: number of n X 6 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, vertical or antidiagonal neighbor in a random 0..3 n X 6 array.

%C Column 6 of A218372.

%H R. H. Hardin, <a href="/A218370/b218370.txt">Table of n, a(n) for n = 1..23</a>

%e Some solutions for n=3

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

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

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

%Y Cf. A218372.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 27 2012