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A221446
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
15
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
OFFSET
1,2
COMMENTS
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
LINKS
EXAMPLE
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
CROSSREFS
Row 1 is A000213(n+1)
Sequence in context: A193702 A193710 A128821 * A029723 A187370 A215456
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 17 2013
STATUS
approved