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A083345
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Numerator of r(n) = Sum(e/p: n=Prod(p^e)).
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4
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0, 1, 1, 1, 1, 5, 1, 3, 2, 7, 1, 4, 1, 9, 8, 2, 1, 7, 1, 6, 10, 13, 1, 11, 2, 15, 1, 8, 1, 31, 1, 5, 14, 19, 12, 5, 1, 21, 16, 17, 1, 41, 1, 12, 13, 25, 1, 7, 2, 9, 20, 14, 1, 3, 16, 23, 22, 31, 1, 23, 1, 33, 17, 3, 18, 61, 1, 18, 26, 59, 1, 13, 1, 39, 11, 20, 18, 71, 1, 11, 4, 43, 1, 31, 22
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,6
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COMMENTS
| The fraction a(n)/A083346(n) is totally additive with a(p) = 1/p. - Frank Adams-Watters (FrankTAW(AT)Netscape.net), May 17 2006
Least common multiple of n and its arithmetic derivative, divided by n, i.e. a(n) = lcm(n,n')/n = A086130(n)/A000027(n). - Giorgio Balzarotti (greenblue(AT)tiscali.it), Apr 14 2011
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EXAMPLE
| n=12 = 2*2*3 = 2^2 * 3^1 --> r(12) = 2/2 + 1/3 = (6+2)/6,
therefore a(12)=4, A083346(12)=3;
n=18 = 2*3*3 = 2^1 * 3^2 --> r(18) = 1/2 + 2/3 = (3+4)/6,
therefore a(18)=7, A083346(18)=6.
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CROSSREFS
| Denominator: A083346, A072873, A083347, A083348.
Sequence in context: A055515 A136744 A068237 * A087262 A082343 A166125
Adjacent sequences: A083342 A083343 A083344 * A083346 A083347 A083348
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KEYWORD
| nonn
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AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 25 2003
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