id:A112624 - OEIS Search Results

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If p^b(p,n) is the highest power of the prime p dividing n, then a(n) = product_{p|n} b(p,n)!.

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1, 1, 1, 2, 1, 1, 1, 6, 2, 1, 1, 2, 1, 1, 1, 24, 1, 2, 1, 2, 1, 1, 1, 6, 2, 1, 6, 2, 1, 1, 1, 120, 1, 1, 1, 4, 1, 1, 1, 6, 1, 1, 1, 2, 2, 1, 1, 24, 2, 2, 1, 2, 1, 6, 1, 6, 1, 1, 1, 2, 1, 1, 2, 720, 1, 1, 1, 2, 1, 1, 1, 12, 1, 1, 2, 2, 1, 1, 1, 24, 24, 1, 1, 2, 1, 1, 1, 6, 1, 2, 1, 2, 1, 1, 1, 120, 1, 2, 2, 4, 1 (list; graph; listen)

	OFFSET	`1,4`
	EXAMPLE	`45 = 3^2 * 5^1. So a(45) = 2! * 1! = 2.`
	MATHEMATICA	`f[n_] := Block[{fi = Last@Transpose@FactorInteger@n}, Times @@ (fi!)]; Array[f, 101] (* Robert G. Wilson v *)`
	CROSSREFS	`Adjacent sequences: A112621 A112622 A112623 this_sequence A112625 A112626 A112627` `Sequence in context: A112734 A060185 A129110 this_sequence A139329 A069777 A064992`
	KEYWORD	`nonn`
	AUTHOR	`Leroy Quet (qq-quet(AT)mindspring.com), Dec 25 2005`
	EXTENSIONS	`More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Dec 27 2005`

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Last modified October 9 14:06 EDT 2008. Contains 144831 sequences.

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