id:A115013 - OEIS Search Results

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a(n) = difference between largest and smallest primes dividing the n-th squarefree integer (with a(1)=0).

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0, 0, 0, 1, 0, 3, 0, 0, 5, 2, 0, 0, 4, 9, 0, 11, 0, 3, 0, 8, 15, 2, 0, 17, 10, 0, 5, 0, 21, 0, 14, 0, 6, 16, 27, 0, 0, 29, 8, 9, 0, 20, 5, 0, 0, 35, 4, 11, 0, 39, 0, 12, 41, 26, 0, 6, 28, 45, 14, 0, 0, 15, 0, 4, 51, 0, 0, 9, 34, 0, 17, 18, 57, 10, 59, 38, 0, 40, 11, 0, 12, 65, 0, 21, 0, 44, 69, 2 (list; graph; listen)

	OFFSET	`1,6`
	FORMULA	`A073482(n) - A073481(n)`
	EXAMPLE	`a(7)=3 because the 7th squarefree number is 10 =2*5 and 5-2=3.`
	MAPLE	`with(numtheory): a:=proc(n) local FS: FS:=factorset(n): if abs(mobius(n))>0 then FS[nops(FS)]-FS[1] else fi end: seq(a(n), n=2..180); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 07 2006`
	CROSSREFS	`Adjacent sequences: A115010 A115011 A115012 this_sequence A115014 A115015 A115016` `Sequence in context: A127775 A092669 A011400 this_sequence A072736 A135090 A051174`
	KEYWORD	`nonn`
	AUTHOR	`Leroy Quet (qq-quet(AT)mindspring.com), Feb 28 2006`
	EXTENSIONS	`More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 07 2006`

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Last modified October 15 09:18 EDT 2008. Contains 145015 sequences.

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