A137266 - OEIS

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A137266

a(n) = number of positive integers k where k divides (n - floor(n/k)).

1, 1, 2, 3, 2, 2, 3, 4, 3, 3, 3, 4, 3, 3, 4, 5, 3, 5, 3, 4, 4, 4, 3, 6, 3, 5, 5, 5, 2, 4, 6, 6, 3, 3, 5, 8, 4, 3, 4, 7, 2, 5, 5, 6, 5, 3, 4, 8, 5, 6, 4, 5, 4, 6, 4, 6, 5, 5, 3, 8, 2, 5, 7, 8, 4, 5, 4, 6, 4, 5, 5, 9, 4, 5, 6, 6, 3, 5, 5, 9, 7, 4, 3, 8, 5, 4, 5, 6, 4, 8, 6, 5, 5, 4, 5, 9, 3, 6, 7, 10, 4, 5, 4, 6, 5 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,3`
	EXAMPLE	`For n = 8, checking: 1 divides (8 - floor(8/1))=0. 2 divides (8 - floor(8/2))=4. 3 divides (8 - floor(8/3))=6. 4 doesn't divide (8 - floor(8/4))=6. 5 doesn't divide (8 - floor(8/5))=7. 6 doesn't divide (8 - floor(8/6))=7. 7 divides (8 - floor(8/7))=7. 8 doesn't divide (8 - floor(8/8))=7. For k > 8, k doesn't divide (n - floor(n/k)) = n. There are 4 cases where k does divide (n-floor(n/k)); so a(8) = 4.`
	CROSSREFS	`Sequence in context: A118480 A104377 A109337 * A062948 A096258 A049879` `Adjacent sequences: A137263 A137264 A137265 * A137267 A137268 A137269`
	KEYWORD	`nonn`
	AUTHOR	`Leroy Quet Apr 26 2008`
	EXTENSIONS	`More terms from R. J. Mathar (mathar(AT)strw.leidenunvi.nl), Feb 27 2009`

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Last modified February 14 18:09 EST 2012. Contains 205663 sequences.