A071773 - OEIS

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A071773

GCD(sfk(n),n/sfk(n)), where sfk(n)=A007947(n) is the squarefree kernel of n.

1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 1, 2, 5, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 6, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 2, 7, 5, 1, 2, 1, 3, 1, 2, 1, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 2, 1, 1, 1, 6, 1, 1, 5, 2, 1, 1, 1, 2, 3, 1, 1, 2, 1, 1, 1, 2, 1, 3, 1, 2, 1, 1, 1, 2, 1, 7, 3, 10, 1, 1, 1, 2 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,4`
	COMMENTS	`a(n)=gcd(A007947(n), A003557(n));` `n is squarefree iff a(n)=1.`
	LINKS	`Eric Weisstein's World of Mathematics, Squarefree.`
	FORMULA	`Multiplicative with p^e -> p^ceil((e-1)/e), p prime.`
	CROSSREFS	`Cf. A005117.` `Sequence in context: A066170 A184957 A205792 * A000188 A162401 A191090` `Adjacent sequences: A071770 A071771 A071772 * A071774 A071775 A071776`
	KEYWORD	`nonn,mult`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 24 2002`

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Last modified February 15 10:52 EST 2012. Contains 205763 sequences.