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A212864
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Number of nondecreasing sequences of n 1..4 integers with no element dividing the sequence sum
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1
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0, 2, 3, 5, 6, 9, 12, 15, 17, 22, 26, 30, 34, 40, 45, 51, 56, 63, 70, 77, 83, 92, 100, 108, 116, 126, 135, 145, 154, 165, 176, 187, 197, 210, 222, 234, 246, 260, 273, 287, 300, 315, 330, 345, 359, 376, 392, 408, 424, 442, 459, 477, 494, 513, 532, 551, 569, 590, 610, 630, 650
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OFFSET
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1,2
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COMMENTS
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Column 4 of A212868
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..210
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FORMULA
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Empirical: a(n) = a(n-1) +a(n-3) -a(n-5) -a(n-7) +a(n-8)
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EXAMPLE
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All solutions for n=8
..2....2....2....2....2....2....3....2....2....3....2....2....2....3....3
..2....3....2....2....2....2....3....2....3....3....2....3....2....4....3
..3....3....2....2....2....2....3....3....4....3....2....3....2....4....3
..3....3....2....2....2....2....3....3....4....3....3....3....3....4....4
..3....3....3....2....2....2....3....3....4....3....4....3....3....4....4
..3....3....4....2....2....3....3....4....4....3....4....3....3....4....4
..3....3....4....3....2....3....4....4....4....3....4....4....4....4....4
..4....3....4....4....3....3....4....4....4....4....4....4....4....4....4
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CROSSREFS
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Sequence in context: A124866 A166247 A126785 * A026317 A008768 A067593
Adjacent sequences: A212861 A212862 A212863 * A212865 A212866 A212867
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin May 29 2012
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STATUS
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approved
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