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Search: id:A108711
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| A108711 |
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Number of partitions of n with Floor(2n/3) parts. |
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+0 1
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| 0, 1, 1, 2, 2, 2, 3, 3, 3, 5, 5, 5, 7, 7, 7, 11, 11, 11, 15, 15, 15, 22, 22, 22, 30, 30, 30, 42, 42, 42, 56, 56, 56, 77, 77, 77, 101, 101, 101, 135
(list; graph; listen)
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OFFSET
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1,4
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COMMENT
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It would be interesting to know whether the sequence continues with runs of length 3 of terms of equal values.
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EXAMPLE
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The partitions of 6 are {{6},{5,1},{4,2},{4,1,1},{3,3},{3,2,1},{3,1,1,1},{2,2,2},{2,2,1,1},{2,1,1,1,1},{1,1,1,1,1,1}}, of which 2 have 4 parts. Thus a(6)=2.
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CROSSREFS
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Cf. A066639.
Sequence in context: A008649 A008650 A062051 this_sequence A029059 A035449 A161555
Adjacent sequences: A108708 A108709 A108710 this_sequence A108712 A108713 A108714
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KEYWORD
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nonn
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AUTHOR
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John W. Layman (layman(AT)math.vt.edu), Jun 20 2005
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