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A221446
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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
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15
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1, 3, 1, 5, 9, 1, 9, 33, 31, 1, 17, 117, 221, 105, 1, 31, 429, 1465, 1473, 355, 1, 57, 1577, 10593, 18393, 9829, 1201, 1, 105, 5785, 76055, 260557, 230845, 65569, 4063, 1, 193, 21217, 543081, 3669101, 6415089, 2897357, 437437, 13745, 1, 355, 77825, 3883061
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OFFSET
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1,2
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COMMENTS
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Table starts
.1.......3..........5..............9................17....................31
.1.......9.........33............117...............429..................1577
.1......31........221...........1465.............10593.................76055
.1.....105.......1473..........18393............260557...............3669101
.1.....355.......9829.........230845...........6415089.............177320895
.1....1201......65569........2897357.........157933741............8569227073
.1....4063.....437437.......36364977........3888200065..........414116287743
.1...13745....2918273......456419681.......95724317069........20012580804813
.1...46499...19468741.....5728560373.....2356654610641.......967127817426727
.1..157305..129882145....71899621813....58018914711981.....46737411242830049
.1..532159..866485149...902417942313..1428378365629601...2258631763028702151
.1.1800281.5780598081.11326320232169.35165510520296269.109150620595639469645
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LINKS
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EXAMPLE
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Some solutions for n=3 k=4
..1..0..1..1....0..1..1..1....1..1..1..0....1..1..0..1....1..0..0..0
..1..0..1..1....0..1..1..0....0..0..1..0....1..1..1..1....1..1..1..1
..0..1..0..1....1..1..1..0....1..0..0..1....1..1..1..0....1..1..1..0
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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