id:A083345 - OEIS Search Results

Search: id:A083345

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Numerator of r(n) = Sum(e/p: n=Prod(p^e)).

+0
4

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; listen)

	OFFSET	`1,6`
	COMMENT	`The fraction a(n)/A083346(n) is totally additive with a(p) = 1/p. - Frank Adams-Watters (FrankTAW(AT)Netscape.net), May 17 2006`
	EXAMPLE	`n=12 = 223 = 2^2 * 3^1 --> r(12) = 2/2 + 1/3 = (6+2)/6,` `therefore a(12)=4, A083346(12)=3;` `n=18 = 233 = 2^1 * 3^2 --> r(18) = 1/2 + 2/3 = (3+4)/6,` `therefore a(18)=7, A083346(18)=6.`
	CROSSREFS	`Denominator: A083346, A072873, A083347, A083348.` `Adjacent sequences: A083342 A083343 A083344 this_sequence A083346 A083347 A083348` `Sequence in context: A055515 A136744 A068237 this_sequence A087262 A082343 A057778`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Apr 25 2003`

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Last modified May 16 01:24 EDT 2008. Contains 139630 sequences.

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