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%I #4 Nov 11 2012 06:24:52
%S 1,3,1,7,15,1,13,63,59,1,25,249,503,233,1,49,993,4049,4017,929,1,97,
%T 3969,32313,64577,32123,3697,1,191,15867,258353,1030457,1032785,
%U 256849,14719,1,375,63423,2066359,16477441,32958333,16520553,2053803,58599,1,737
%N T(n,k)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, diagonal or antidiagonal neighbor in a random 0..2 nXk array
%C Table starts
%C .1........3...........7..............13................25..................49
%C .1.......15..........63.............249...............993................3969
%C .1.......59.........503............4049.............32313..............258353
%C .1......233........4017...........64577...........1030457............16477441
%C .1......929.......32123.........1032785..........32958333..........1054068853
%C .1.....3697......256849........16520553........1054361217.........67441480753
%C .1....14719.....2053803.......264274797.......33731920377.......4315258520649
%C .1....58599....16422459......4227506465.....1079168990473.....276111139100297
%C .1...233291...131315929.....67625780417....34525267140421...17666902721644133
%C .1...928769..1050017821...1081783483265..1104548251723921.1130412517172994361
%C .1..3697573..8396067527..17304872546433.35337216591063957
%C .1.14720617.67135955941.276819362795425
%H R. H. Hardin, <a href="/A219063/b219063.txt">Table of n, a(n) for n = 1..127</a>
%e Some solutions for n=3 k=4
%e ..1..1..1..0....0..0..1..0....1..0..0..0....1..1..0..0....1..1..1..0
%e ..0..1..0..0....0..0..1..1....0..0..1..1....0..1..0..0....0..1..1..1
%e ..0..1..1..1....1..0..1..0....1..1..1..0....0..1..0..1....0..0..1..0
%Y Column 2 is A218200
%Y Row 1 is A218199
%Y Row 2 is A218313
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ Nov 11 2012
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