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%I #4 Oct 25 2012 17:11:22
%S 49,3969,261121,16654561,1065434881,68184176641,4363582588561,
%T 279254546449921,17871334586731521,1143704311285736641,
%U 73193166320198831361,4684112443348657152001,299767184304336708080625
%N Hilltop maps: number of nX6 binary arrays indicating the locations of corresponding elements not exceeded by any king-move neighbor in a random 0..2 nX6 array
%C Column 6 of A218319
%H R. H. Hardin, <a href="/A218317/b218317.txt">Table of n, a(n) for n = 1..92</a>
%F Empirical: a(n) = 56*a(n-1) +448*a(n-2) +3577*a(n-3) +28616*a(n-4) +228928*a(n-5) -3430*a(n-6) -24696*a(n-7) -24010*a(n-9) -326536*a(n-10) +16807*a(n-12) +117649*a(n-15)
%e Some solutions for n=3
%e ..0..0..1..1..1..1....0..1..1..1..1..0....0..0..1..0..0..0....0..0..1..1..1..0
%e ..0..0..0..0..1..1....1..0..1..0..1..0....0..0..0..1..0..1....0..1..0..1..1..0
%e ..1..0..1..0..0..1....0..0..0..0..1..0....1..1..0..0..1..1....0..1..0..1..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Oct 25 2012