id:A126081 - OEIS Search Results

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a(n) = number of k, 1 <= k <= n, such that k divides ceiling(n/k).

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1, 1, 2, 2, 1, 1, 3, 3, 2, 1, 2, 2, 2, 2, 3, 4, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 3, 2, 2, 2, 4, 4, 2, 3, 4, 4, 1, 1, 2, 2, 1, 1, 4, 4, 4, 4, 5, 5, 3, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 4, 1, 1, 3, 3, 2, 3, 5, 5, 3, 3, 4, 3, 3, 3, 5, 5, 3, 1, 2, 2, 1, 1, 2, 3, 2, 2, 3, 4, 4, 4, 5, 6, 5, 5, 5, 4, 1, 1, 3, 3, 2 (list; graph; listen)

	OFFSET	`1,3`
	LINKS	`Leroy Quet, Home Page (listed in lieu of email address)`
	EXAMPLE	`Ceiling(n/k) for n = 7 is: k=1: 7; k=2: 4; k=3: 3; k=4: 2; k=5: 2; k=6: 2; k=7: 1. 1 divides 7, 2 divides 4, 3 divides 3; so a(7) = 3.`
	MAPLE	`a:=proc(n) local ct, k: ct:=0: for k from 1 to n do if type(ceil(n/k)/k, integer)=true then ct:=ct+1 else ct:=ct fi od: ct; end: seq(a(n), n=1..130); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 28 2007`
	CROSSREFS	`Cf. A066030.` `Sequence in context: A027358 A155092 A095133 this_sequence A102481 A110659 A100522` `Adjacent sequences: A126078 A126079 A126080 this_sequence A126082 A126083 A126084`
	KEYWORD	`nonn`
	AUTHOR	`Leroy Quet Mar 02 2007`
	EXTENSIONS	`More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 28 2007`

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.

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