A221446 - OEIS

%I #4 Jan 17 2013 05:06:52

%S 1,3,1,5,9,1,9,33,31,1,17,117,221,105,1,31,429,1465,1473,355,1,57,

%T 1577,10593,18393,9829,1201,1,105,5785,76055,260557,230845,65569,4063,

%U 1,193,21217,543081,3669101,6415089,2897357,437437,13745,1,355,77825,3883061

%N T(n,k)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..1 nXk array

%C Table starts

%C .1.......3..........5..............9................17....................31

%C .1.......9.........33............117...............429..................1577

%C .1......31........221...........1465.............10593.................76055

%C .1.....105.......1473..........18393............260557...............3669101

%C .1.....355.......9829.........230845...........6415089.............177320895

%C .1....1201......65569........2897357.........157933741............8569227073

%C .1....4063.....437437.......36364977........3888200065..........414116287743

%C .1...13745....2918273......456419681.......95724317069........20012580804813

%C .1...46499...19468741.....5728560373.....2356654610641.......967127817426727

%C .1..157305..129882145....71899621813....58018914711981.....46737411242830049

%C .1..532159..866485149...902417942313..1428378365629601...2258631763028702151

%C .1.1800281.5780598081.11326320232169.35165510520296269.109150620595639469645

%H R. H. Hardin, <a href="/A221446/b221446.txt">Table of n, a(n) for n = 1..217</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Row 1 is A000213(n+1)

%K nonn,tabl

%O 1,2

%A _R. H. Hardin_ Jan 17 2013