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A212536
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T(n,k)=Number of nondecreasing sequences of n 1..k integers with every element dividing the sequence sum
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10
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1, 2, 1, 3, 2, 1, 4, 3, 3, 1, 5, 4, 5, 3, 1, 6, 5, 7, 5, 4, 1, 7, 6, 8, 10, 8, 4, 1, 8, 7, 11, 12, 15, 8, 5, 1, 9, 8, 12, 17, 21, 15, 12, 5, 1, 10, 9, 14, 18, 30, 21, 24, 12, 6, 1, 11, 10, 16, 23, 33, 40, 33, 29, 16, 6, 1, 12, 11, 18, 26, 46, 44, 69, 40, 39, 16, 7, 1, 13, 12, 19, 30, 53, 64, 83, 91
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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..10..11...12...13...14...15...16...17...18...19
.1.2..3..4..5...6...7...8...9..10..11...12...13...14...15...16...17...18...19
.1.3..5..7..8..11..12..14..16..18..19...22...23...25...27...29...30...33...34
.1.3..5.10.12..17..18..23..26..30..31...40...41...43...47...52...53...59...60
.1.4..8.15.21..30..33..46..53..66..67...87...88...95..111..125..126..143..144
.1.4..8.15.21..40..44..64..76.103.104..148..149..165..197..229..230..271..272
.1.5.12.24.33..69..83.116.145.188.193..290..293..332..428..496..497..606..607
.1.5.12.29.40..91.106.161.202.266.272..474..478..561..747..874..876.1141.1142
.1.6.16.39.57.130.157.245.331.439.455..867..878.1034.1417.1646.1651.2236.2240
.1.6.16.45.70.166.200.334.451.644.665.1424.1440.1713.2384.2785.2793.3927.3932
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LINKS
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EXAMPLE
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Some solutions for n=8 k=4
..1....1....2....1....1....1....1....2....1....1....1....1....2....2....1....1
..1....2....2....2....1....1....1....3....1....1....1....1....2....2....2....1
..2....3....3....2....1....1....1....3....1....2....1....2....2....4....2....2
..2....3....3....2....1....1....1....3....1....2....1....2....2....4....3....2
..2....3....3....2....1....2....2....3....1....2....1....2....4....4....4....3
..4....4....3....3....2....2....2....3....1....2....1....2....4....4....4....3
..4....4....4....3....2....4....2....3....2....2....2....2....4....4....4....3
..4....4....4....3....3....4....2....4....2....2....4....4....4....4....4....3
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CROSSREFS
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Column 3 is A000212(floor((n+5)/2))
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KEYWORD
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AUTHOR
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STATUS
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approved
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