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Search: id:A108711
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A108711 Number of partitions of n with Floor(2n/3) parts. +0
1
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)
OFFSET

1,4

COMMENT

It would be interesting to know whether the sequence continues with runs of length 3 of terms of equal values.

EXAMPLE

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.

CROSSREFS

Cf. A066639.

Sequence in context: A008649 A008650 A062051 this_sequence A029059 A035449 A161555

Adjacent sequences: A108708 A108709 A108710 this_sequence A108712 A108713 A108714

KEYWORD

nonn

AUTHOR

John W. Layman (layman(AT)math.vt.edu), Jun 20 2005

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Last modified December 10 00:48 EST 2009. Contains 170565 sequences.


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