id:A126164 - OEIS Search Results

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Sum of the proper exponential divisors of n.

+0
6

0, 0, 0, 2, 0, 0, 0, 2, 3, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 10, 0, 0, 0, 6, 5, 0, 3, 14, 0, 0, 0, 2, 0, 0, 0, 36, 0, 0, 0, 10, 0, 0, 0, 22, 15, 0, 0, 18, 7, 10, 0, 26, 0, 6, 0, 14, 0, 0, 0, 30, 0, 0, 21, 14, 0, 0, 0, 34, 0, 0, 0, 48, 0, 0, 15 (list; graph; listen)

	OFFSET	`1,4`
	COMMENT	`The e-divisors (or exponential divisors) of x=Product p(i)^r(i) are all numbers of the form Product p(i)^s(i) where s(i) divides r(i) for all i.`
	LINKS	`Ant King, Mathematica programs for A126164 - A126166` `Eric Weisstein's World of Mathematics, e-Divisor.`
	FORMULA	`a(n)=esigma(n)-n; a(n)=A051377-n`
	EXAMPLE	`The exponential divisors of 240 are 30, 60 and 240, so a(240)=30+60=90`
	CROSSREFS	`Cf. A051377, A049419, A054979, A054980.` `Sequence in context: A054923 A057108 A063958 this_sequence A145007 A151670 A153587` `Adjacent sequences: A126161 A126162 A126163 this_sequence A126165 A126166 A126167`
	KEYWORD	`easy,nonn`
	AUTHOR	`Ant King (mathstutoring(AT)ntlworld.com), Dec 21 2006`

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.

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