A126164 - OEIS

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A126164

Sum of the proper exponential divisors of n.

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; refs; listen; history; internal format)

	OFFSET	`1,4`
	COMMENTS	`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 * A145007 A151670 A153587` `Adjacent sequences: A126161 A126162 A126163 * A126165 A126166 A126167`
	KEYWORD	`easy,nonn`
	AUTHOR	`Ant King (mathstutoring(AT)ntlworld.com), Dec 21 2006`

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Last modified February 17 15:44 EST 2012. Contains 206050 sequences.