id:A162538 - OEIS Search Results

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The smallest number with an arithmetic mean of divisors equal to n; 0 if non-existent.

+0
1

1, 3, 5, 7, 0, 11, 13, 21, 17, 19, 0, 23, 45, 39, 29, 31, 0, 46, 37, 57, 41, 43, 0, 47, 0, 99, 53, 91, 0, 59, 61, 93, 86, 67, 116, 71, 73, 111, 125, 79, 0, 83, 0, 129, 89, 0, 0, 141, 97, 0, 101, 103, 0, 107, 109, 188, 113, 0, 0, 158, 169, 183, 166, 127, 261, 131, 0, 201, 137 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`a(n) is the smallest k such that sigma(k)/tau(k) = A000203(k)/A000005(k) =n.` `Zeros occur if n is in A157847 (i.e, not in A157846).`
	EXAMPLE	`a(7)= 13 because sigma(13)=14 and tau(13)= 2 so 14/2 = 7.` `a(8)= 21 because sigma(21)=32 and tau(21)= 4 so 32/4 = 8.`
	CROSSREFS	`Cf. A003601.` `Sequence in context: A024601 A085090 A084713 this_sequence A084712 A031100 A031057` `Adjacent sequences: A162535 A162536 A162537 this_sequence A162539 A162540 A162541`
	KEYWORD	`nonn`
	AUTHOR	`Claudio L Meller (claudiomeller(AT)gmail.com), Jul 05 2009`
	EXTENSIONS	`Edited by by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 07 2009`

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.

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