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A003960 Fully multiplicative with a(p) = [ (p+1)/2 ] for prime p. +0
4
1, 1, 2, 1, 3, 2, 4, 1, 4, 3, 6, 2, 7, 4, 6, 1, 9, 4, 10, 3, 8, 6, 12, 2, 9, 7, 8, 4, 15, 6, 16, 1, 12, 9, 12, 4, 19, 10, 14, 3, 21, 8, 22, 6, 12, 12, 24, 2, 16, 9, 18, 7, 27, 8, 18, 4, 20, 15, 30, 6, 31, 16, 16, 1, 21, 12, 34, 9, 24, 12, 36, 4, 37, 19, 18, 10, 24, 14, 40, 3, 16, 21, 42, 8, 27 (list; graph; listen)
OFFSET

1,3

FORMULA

If n = Product p(k)^e(k) then a(n) = Product [ (p(k)+1)/2 ]^e(k).

Multiplicative with a(p^e) = [(p+1)/2]^e. - David W. Wilson (davidwwilson(AT)comcast.net), Aug 01, 2001.

CROSSREFS

Cf. A003970.

Adjacent sequences: A003957 A003958 A003959 this_sequence A003961 A003962 A003963

Sequence in context: A136523 A163507 A003963 this_sequence A124223 A094193 A108712

KEYWORD

nonn,mult

AUTHOR

Marc LeBrun (mlb(AT)well.com)

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Last modified November 8 07:45 EST 2009. Contains 166143 sequences.


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