id:A006586 - OEIS Search Results

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Sum_{k=1..n-1} { nearest integer to (n-k)/k }.
(Formerly M0988)

+0
1

1, 2, 4, 6, 8, 10, 14, 15, 18, 22, 24, 27, 31, 33, 37, 40, 44, 47, 51, 53, 57, 63, 65, 68, 73, 75, 81, 85, 87, 91, 97, 100, 104, 108, 112, 115, 121, 125, 129, 134, 136, 142, 146, 148, 156, 160, 164, 166, 173, 176, 180, 188, 190, 194, 200, 202, 208, 214, 218, 223, 227 (list; graph; listen)

	OFFSET	`2,2`
	COMMENT	`"Nearest integer to" rounds down rather than up when fed an exact half-integer. Clearly a(n) = n log n + O(n); better is surely possible.`
	REFERENCES	`Marc LeBrun (mlb(AT)well.com), personal communication.` `N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).`
	CROSSREFS	`Sequence in context: A024172 A085577 A121832 this_sequence A022292 A087370 A138929` `Adjacent sequences: A006583 A006584 A006585 this_sequence A006587 A006588 A006589`
	KEYWORD	`nonn,easy`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`
	EXTENSIONS	`More terms from Gareth McCaughan (gareth.mccaughan(AT)pobox.com), Jun 10 2004`

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Last modified December 5 23:38 EST 2009. Contains 170428 sequences.

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