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A051724 Numerator of n/12. +0
5
0, 1, 1, 1, 1, 5, 1, 7, 2, 3, 5, 11, 1, 13, 7, 5, 4, 17, 3, 19, 5, 7, 11, 23, 2, 25, 13, 9, 7, 29, 5, 31, 8, 11, 17, 35, 3, 37, 19, 13, 10, 41, 7, 43, 11, 15, 23, 47, 4, 49, 25, 17, 13, 53, 9, 55, 14, 19, 29, 59, 5, 61, 31, 21, 16, 65, 11, 67, 17, 23, 35, 71 (list; graph; listen)
OFFSET

0,6

COMMENT

Or, numerator of n/(n+12).

Multiplicative with a(2^e) = 2^max(0, e-2), a(3^e) = 3^(e-1), a(p^e) = p^e otherwise. David W. Wilson (davidwwilson(AT)comcast.net) Jun 12, 2005.

REFERENCES

R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, Reading, MA, 1990, p. 269.

FORMULA

a(n) = n/GCD(n, 12). David W. Wilson (davidwwilson(AT)comcast.net) Jun 12, 2005.

PROGRAM

(Other) sage: [lcm(n, 12)/12for n in xrange(0, 72)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 09 2009]

CROSSREFS

Cf. A051724! [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 09 2009]

Cf. A051724.

A109053 [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 09 2009]

Sequence in context: A023890 A102778 A135544 this_sequence A084303 A011508 A158552

Adjacent sequences: A051721 A051722 A051723 this_sequence A051725 A051726 A051727

KEYWORD

nonn,easy,frac,mult

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.


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