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A258631
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T(n,k)=Number of length n 1..(k+1) arrays with every leading partial sum divisible by 2, 3, 5 or 7
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16
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1, 2, 2, 3, 6, 4, 4, 12, 18, 8, 5, 20, 45, 50, 16, 6, 28, 80, 130, 105, 27, 7, 36, 125, 264, 331, 181, 33, 8, 46, 179, 511, 809, 834, 316, 35, 9, 56, 257, 830, 2094, 2506, 2115, 560, 45, 9, 67, 345, 1408, 4021, 9099, 8432, 5726, 969, 60, 10, 73, 468, 2150, 8116, 20462, 40789
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OFFSET
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1,2
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COMMENTS
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Table starts
..1....2.....3......4.......5........6........7.........8.........9..........9
..2....6....12.....20......28.......36.......46........56........67.........73
..4...18....45.....80.....125......179......257.......345.......468........560
..8...50...130....264.....511......830.....1408......2150......3370.......4440
.16..105...331....809....2094.....4021.....8116.....14058.....25047......35962
.27..181...834...2506....9099....20462....48479.....93595....186047.....290231
.33..316..2115...8432...40789...105719...290231....615072...1376125....2357746
.35..560..5726..30362..182685...546640..1702510...4010997..10317196...19499390
.45..969.16873.109520..818100..2789557..9898375..26612118..78604973..162595685
.60.1777.50003.391836.3633049.14124297.58647747.180705283.600180109.1349514483
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LINKS
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EXAMPLE
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Some solutions for n=8 k=4
..3....4....3....5....5....2....3....5....4....3....3....4....4....3....4....3
..5....4....2....5....2....1....2....4....2....4....5....2....1....1....5....5
..1....4....3....4....1....4....2....3....1....3....2....1....3....1....5....2
..1....2....4....1....4....3....3....3....5....5....2....5....2....2....4....4
..4....4....4....1....2....4....4....5....3....5....3....4....5....1....3....2
..4....2....2....4....4....4....4....5....3....1....1....5....1....2....1....4
..3....2....2....5....2....2....4....2....3....1....2....3....2....4....5....2
..5....3....4....2....5....4....5....1....4....5....3....3....2....4....3....4
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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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