id:A072501 - OEIS Search Results

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Ratio of the product of divisors of n which are > n^(1/2) to product of divisors of n which are < n^(1/2).

+0
3

1, 2, 3, 4, 5, 9, 7, 16, 9, 25, 11, 48, 13, 49, 25, 64, 17, 162, 19, 125, 49, 121, 23, 576, 25, 169, 81, 343, 29, 900, 31, 512, 121, 289, 49, 2916, 37, 361, 169, 1600, 41, 2401, 43, 1331, 405, 529, 47, 12288, 49, 1250, 289, 2197, 53, 6561, 121, 3136, 361, 841, 59 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`It can easily be proved that the ratio is always an integer. a(n) = n if n is a prime or a prime square.`
	EXAMPLE	`a(20) = 25. The divisors of 20 are 1,2,4,5,10 and 20. a(20) = 1020/24 = 25.`
	CROSSREFS	`Ratio of corresponding terms of A072500 and A072499.` `Sequence in context: A079871 A130064 A068795 this_sequence A092975 A046021 A052270` `Adjacent sequences: A072498 A072499 A072500 this_sequence A072502 A072503 A072504`
	KEYWORD	`nonn`
	AUTHOR	`Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 20 2002`
	EXTENSIONS	`More terms from Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Feb 02 2003`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

AT&T Labs Research