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%I #4 Nov 03 2012 18:59:56
%S 1,3,1,7,15,1,15,63,63,1,29,255,511,251,1,57,1017,4095,4087,1001,1,
%T 113,4065,32753,65523,32689,4001,1,225,16257,262017,1048363,1048353,
%U 261505,16001,1,449,65025,2096129,16773477,33546641,16773633,2092027,63985,1
%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..3 nXk array
%C Table starts
%C .1........3...........7.............15...............29................57
%C .1.......15..........63............255.............1017..............4065
%C .1.......63.........511...........4095............32753............262017
%C .1......251........4087..........65523..........1048363..........16773477
%C .1.....1001.......32689........1048353.........33546641........1073471633
%C .1.....4001......261505.......16773633.......1073490145.......68702054721
%C .1....16001.....2092027......268378101......34351677143.....4396930705721
%C .1....63985....16736081.....4294049121....1099253514899...281403528942981
%C .1...255867...133887639....68704778799...35176108628465.18009823835462025
%C .1..1023171..1071093011..1099276346403.1125635352180227
%C .1..4091495..8568679227.17588419711983
%C .1.16361227.68548914887
%H R. H. Hardin, <a href="/A218638/b218638.txt">Table of n, a(n) for n = 1..111</a>
%e Some solutions for n=3 k=4
%e ..0..1..1..1....0..1..0..0....0..1..1..1....0..0..1..0....1..0..0..0
%e ..1..1..1..1....0..0..1..0....0..1..1..1....1..0..1..1....0..0..0..0
%e ..1..1..0..0....1..0..1..1....1..0..1..1....1..0..1..1....1..1..0..0
%Y Column 2 is A218190
%Y Row 1 is A218189
%Y Row 2 is A218236
%Y Row 3 is A218237
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ Nov 03 2012
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