id:A066990 - OEIS Search Results

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In canonical prime factorization of n replace even exponents by 2 and and odd exponents by 1.

+0
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1, 2, 3, 4, 5, 6, 7, 2, 9, 10, 11, 12, 13, 14, 15, 4, 17, 18, 19, 20, 21, 22, 23, 6, 25, 26, 3, 28, 29, 30, 31, 2, 33, 34, 35, 36, 37, 38, 39, 10, 41, 42, 43, 44, 45, 46, 47, 12, 49, 50, 51, 52, 53, 6, 55, 14, 57, 58, 59, 60, 61, 62, 63, 4, 65, 66 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`a(n) = n for cube-free numbers (A004709), whereas a(n) <> n for cube-full numbers (A046099).`
	LINKS	`Eric Weisstein's World of Mathematics, Cube-free`
	FORMULA	`Multiplicative with a(p^e) = p^(2 - e mod 2), p prime, e>0.`
	CROSSREFS	`Adjacent sequences: A066987 A066988 A066989 this_sequence A066991 A066992 A066993` `Sequence in context: A038387 A043267 A091733 this_sequence A097449 A104415 A071074`
	KEYWORD	`nonn,nice,mult`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 01, 2002`

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Last modified October 5 16:50 EDT 2008. Contains 144613 sequences.

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