id:A061538 - OEIS Search Results

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Product of all divisors of n, divided by product of unitary divisors; or equivalently product of non-unitary divisors of n.

+0
5

1, 1, 1, 2, 1, 1, 1, 8, 3, 1, 1, 12, 1, 1, 1, 64, 1, 18, 1, 20, 1, 1, 1, 576, 5, 1, 27, 28, 1, 1, 1, 1024, 1, 1, 1, 7776, 1, 1, 1, 1600, 1, 1, 1, 44, 45, 1, 1, 110592, 7, 50, 1, 52, 1, 2916, 1, 3136, 1, 1, 1, 3600, 1, 1, 63, 32768, 1, 1, 1, 68, 1, 1, 1, 26873856, 1, 1, 75, 76, 1, 1, 1 (list; graph; listen)

	OFFSET	`0,4`
	FORMULA	`a(n)=n^(A048105(n)/2)=n^[(A000005(n)-A034444(n))/2]`
	EXAMPLE	`n=16 and only {1,16} are unitary, while {2,4,8} are non= unitary divisors, so a(16)=64. When all divisors are unitary, then A048105 is 0, and corresponding terms here are equal to 1.`
	CROSSREFS	`A000005, A034444, A007955, A048105, A007955, A007956.` `Sequence in context: A137296 A101124 A011127 this_sequence A123602 A065521 A007737` `Adjacent sequences: A061535 A061536 A061537 this_sequence A061539 A061540 A061541`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), May 15 2001`

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Last modified December 2 15:58 EST 2008. Contains 150992 sequences.

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