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%I #4 Oct 26 2012 19:27:50
%S 5,41,291,2069,14811,105913,757305,5415209,38722037,276885777,
%T 1979899795,14157473937,101234450215,723887182917,5176228570197,
%U 37013146305509,264666248964889,1892522801570497,13532675845407459,96766768350125913
%N Hilltop maps: number of nX3 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or vertical neighbor in a random 0..1 nX3 array
%C Column 3 of A218354
%H R. H. Hardin, <a href="/A218349/b218349.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 6*a(n-1) +5*a(n-2) +22*a(n-3) +7*a(n-4) +8*a(n-5) -18*a(n-6) -20*a(n-7) -a(n-8) +4*a(n-9) +3*a(n-10) +a(n-12)
%e Some solutions for n=3
%e ..1..1..1....1..1..0....1..1..0....1..1..1....0..0..1....1..1..1....1..1..0
%e ..0..0..1....1..1..1....1..1..1....0..1..1....1..0..1....1..1..1....0..0..0
%e ..0..1..1....0..0..0....0..1..0....1..1..0....1..0..0....0..1..0....1..1..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Oct 26 2012
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