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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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified June 21 05:50 EDT 2024. Contains 373540 sequences. (Running on oeis4.)