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A018783 Number of partitions of n into parts having a common factor. +0
3
0, 0, 1, 1, 2, 1, 4, 1, 5, 3, 8, 1, 14, 1, 16, 9, 22, 1, 38, 1, 45, 17, 57, 1, 94, 7, 102, 30, 138, 1, 218, 1, 231, 58, 298, 21, 451, 1, 491, 103, 644, 1, 919, 1, 1005, 203, 1256, 1, 1784, 15, 1993, 299, 2439, 1, 3365, 62, 3735, 492, 4566, 1, 6252, 1, 6843, 819, 8349, 107, 11096 (list; graph; listen)
OFFSET

0,5

FORMULA

a(n) = -Sum_{d|n, d<n} moebuis(n/d)*A000041(d) = A000041(n) - A000837(n). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Jun 17 2003

CROSSREFS

Cf. A083710.

Sequence in context: A093890 A006306 A083711 this_sequence A114326 A060680 A057237

Adjacent sequences: A018780 A018781 A018782 this_sequence A018784 A018785 A018786

KEYWORD

nonn

AUTHOR

David W. Wilson (davidwwilson(AT)comcast.net)

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Last modified December 2 15:58 EST 2008. Contains 150992 sequences.


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