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A223317
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T(n,k)=Number of nXk 0..1 arrays with successive rows and columns fitting to straight lines with nondecreasing slope, with a single point array taken as having zero slope
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6
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2, 4, 4, 8, 11, 8, 16, 26, 26, 16, 32, 57, 136, 57, 32, 64, 120, 454, 454, 120, 64, 128, 247, 2096, 1792, 2096, 247, 128, 256, 502, 7490, 10788, 10788, 7490, 502, 256, 512, 1013, 32536, 43999, 166920, 43999, 32536, 1013, 512, 1024, 2036, 118190, 226126, 1137386
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OFFSET
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1,1
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COMMENTS
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Table starts
....2.....4........8.......16.........32..........64..........128..........256
....4....11.......26.......57........120.........247..........502.........1013
....8....26......136......454.......2096........7490........32536.......118190
...16....57......454.....1792......10788.......43999.......226126.......874205
...32...120.....2096....10788.....166920.....1137386.....14821296....107282250
...64...247.....7490....43999....1137386.....9696201....196812586...1743257458
..128...502....32536...226126...14821296...196812586..11099562288.182213315626
..256..1013...118190...874205..107282250..1743257458.182213315626
..512..2036...495984..4025000.1197025480.27396916796
.1024..4083..1829612.15472252.8930729742
.2048..8178..7534896.66378320
.4096.16369.28093022
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..110
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EXAMPLE
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Some solutions for n=4 k=4
..1..0..0..0....1..1..0..0....1..0..0..0....1..1..0..0....0..0..0..0
..1..0..0..0....1..0..0..1....0..1..1..0....1..1..0..0....0..1..1..0
..1..1..1..1....1..1..1..1....0..0..0..0....1..1..1..0....1..0..0..1
..1..1..1..1....0..0..0..1....0..0..0..0....1..1..0..1....0..1..1..1
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CROSSREFS
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Column 1 is A000079
Column 2 is A000295(n+2)
Sequence in context: A073420 A034408 A227333 * A027131 A338986 A319803
Adjacent sequences: A223314 A223315 A223316 * A223318 A223319 A223320
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KEYWORD
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nonn,tabl
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AUTHOR
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R. H. Hardin Mar 19 2013
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STATUS
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approved
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