id:A038387 - OEIS Search Results

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a(n) is the smallest number such that the arithmetic mean (A) and geometric mean (G) of n and a(n) are both integers.

+0
3

1, 2, 3, 4, 5, 6, 7, 2, 1, 10, 11, 12, 13, 14, 15, 4, 17, 2, 19, 20, 21, 22, 23, 6, 1, 26, 3, 28, 29, 30, 31, 2, 33, 34, 35, 4, 37, 38, 39, 10, 41, 42, 43, 44, 5, 46, 47, 12, 1, 2, 51, 52, 53, 6, 55, 14, 57, 58, 59, 60, 61, 62, 7, 4, 65, 66, 67, 68, 69, 70, 71, 2, 73, 74, 3, 76, 77, 78 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`If n is odd with prime factorization p1^j1p2^j2...pk^jk then f(n)=p1^(j1 mod 2)p2^(j2 mod 2)... If n is even then f(n)=2^(2-(j1 mod 2))p2^(j2 mod 2)... f(n)=n whenever n is square-free or n/2 is square-free. (Christian G. Bower, bowerc(AT)usa.net)` `Multiplicative with a(p^e) = p if e is odd, 4 if p=2 and e is even, 1 if p>2 and e is even. - Vladeta Jovovic (vladeta(AT)Eunet.yu), May 15 2003`
	CROSSREFS	`Cf. A038388, A038389.` `Cf. A053626, A053627.` `Sequence in context: A037895 A037903 A037841 this_sequence A043267 A091733 A066990` `Adjacent sequences: A038384 A038385 A038386 this_sequence A038388 A038389 A038390`
	KEYWORD	`nonn,mult`
	AUTHOR	`njas`
	EXTENSIONS	`More terms from Vladeta Jovovic (vladeta(AT)Eunet.yu), May 15 2003`

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.

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