id:A080767 - OEIS Search Results

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A unitary phi reciprocal amicable number: consider two different numbers a, b which satisfy the following equation for some integer k: uphi(a)=uphi(b)=1/k*a*b/(a-b); or equivalently, 1/uphi(a)=1/uphi(b)=k*(-1/a+1/b); sequence gives b numbers.

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1, 3, 12, 20, 220, 144, 240, 5060, 5520, 5520, 10800, 11520, 8928, 15120, 31680, 33984, 56576, 60372, 39168, 65280, 80640, 149760, 149760, 169920, 281600, 398200, 664092, 669600, 940896, 1235520 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`Here uphi(n)=A047994(n) is the unitary totient function: if n = Product p_i^e_i, uphi(n) = Product (p_i^e_i - 1).`
	CROSSREFS	`Cf. A047994, A080766, A080768, A067739, A067741.` `Sequence in context: A063102 A122576 A143268 this_sequence A043465 A074276 A055041` `Adjacent sequences: A080764 A080765 A080766 this_sequence A080768 A080769 A080770`
	KEYWORD	`nonn`
	AUTHOR	`Yasutoshi Kohmoto (zbi74583(AT)boat.zero.ad.jp)`
	EXTENSIONS	`Kohmoto found 2nd, 6th, 13th, 25th terms. Hickerson calculated the other terms.`

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.

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