A073348 - OEIS

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A073348

Least k such that sigma(k)/k >= sigma(n)/n.

1, 2, 2, 4, 2, 6, 2, 6, 2, 6, 2, 12, 2, 4, 4, 6, 2, 12, 2, 12, 4, 4, 2, 24, 2, 4, 2, 6, 2, 24, 2, 6, 2, 4, 2, 36, 2, 4, 2, 12, 2, 12, 2, 6, 4, 4, 2, 48, 2, 6, 2, 6, 2, 12, 2, 12, 2, 4, 2, 60, 2, 4, 4, 6, 2, 12, 2, 6, 2, 12, 2, 60, 2, 4, 4, 6, 2, 12, 2, 12, 2, 4, 2, 60, 2, 4, 2, 12, 2, 60, 2, 6, 2, 4 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	FORMULA	`It seems that sum(k=1, n, a(k)) is asymptotic to CnLog(n)*Log(Log(n)) with C>1.`
	PROG	`(PARI) a(n)=if(n<0, 0, s=1; while(sigma(s)/s<sigma(n)/n, s++); s)`
	CROSSREFS	`Sequence in context: A143525 A082174 A074369 * A122457 A139770 A140635` `Adjacent sequences: A073345 A073346 A073347 * A073349 A073350 A073351`
	KEYWORD	`easy,nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 23 2002`

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Last modified February 17 21:13 EST 2012. Contains 206085 sequences.