id:A066301 - OEIS Search Results

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a(n) = if n is square-free then 0 else 1+a(n/sfk(n)), where sfk=A007947 (square-free kernel).

+0
2

0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 3, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 4, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 3, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 5, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 3, 3, 0, 0, 1, 0, 0, 0, 2, 0, 1 (list; graph; listen)

	OFFSET	`1,8`
	FORMULA	`a(n) = A051903(n)-1 for n > 1, a(1) = 0.`
	EXAMPLE	`a(24) = 1+a(24/sfk(24)) = 1+a(24/6) = 1+a(4) = 1+(1+a(4/sfk(4))) = 1+(1+a(4/2)) = 2+a(2) = 2+0 = 2.`
	CROSSREFS	`Cf. A005117, A007947, A003557, A008966, A046660, A051903. Not the same as A046660.` `Adjacent sequences: A066298 A066299 A066300 this_sequence A066302 A066303 A066304` `Sequence in context: A025435 A081221 A103840 this_sequence A046660 A108730 A056973`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Jan 01, 2002`

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.

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