id:A062759 - OEIS Search Results

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Largest power of squarefree kernel of n (=A007947) which divides n. It is a first power if and only if n is not a powerful number (A001694, A052485).

+0
3

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 6, 13, 14, 15, 16, 17, 6, 19, 10, 21, 22, 23, 6, 25, 26, 27, 14, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 10, 41, 42, 43, 22, 15, 46, 47, 6, 49, 10, 51, 26, 53, 6, 55, 14, 57, 58, 59, 30, 61, 62, 21, 64, 65, 66, 67, 34, 69, 70, 71, 36, 73 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`a(n)=A007947(n)^A051904(n)`
	EXAMPLE	`n = 1800: squarefree kernel is 2.3.5 = 30 and a(1800) = 900 = 30^2 divides n, exponent of 30 is the smallest prime-exponent of 1800 = 2.2.2.3.3.5.5.`
	CROSSREFS	`A001694, A007497, A051904, A003557, A052485.` `Sequence in context: A053832 A056961 A043271 this_sequence A121758 A121759 A072778` `Adjacent sequences: A062756 A062757 A062758 this_sequence A062760 A062761 A062762`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Jul 16 2001`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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