id:A120613 - OEIS Search Results

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A120613

a(n)=floor(phi*floor(n/phi)) where phi=(1+sqrt(5))/2.

+0
3

0, 1, 1, 3, 4, 4, 6, 6, 8, 9, 9, 11, 12, 12, 14, 14, 16, 17, 17, 19, 19, 21, 22, 22, 24, 25, 25, 27, 27, 29, 30, 30, 32, 33, 33, 35, 35, 37, 38, 38, 40, 40, 42, 43, 43, 45, 46, 46, 48, 48, 50, 51, 51, 53, 53, 55, 56, 56, 58, 59, 59, 61, 61, 63, 64, 64, 66, 67, 67, 69, 69, 71, 72 (list; graph; listen)

	OFFSET	`0,4`
	FORMULA	`a(n)=n-A003842(n)`
	PROGRAM	`(PARI) f=(1+sqrt(5))/2; a(n)=floor(f*floor(n/f))`
	CROSSREFS	`Cf. A120614 (first differences), A120615 (partial sums).` `Sequence in context: A014683 A166737 A088847 this_sequence A164326 A117571 A008474` `Adjacent sequences: A120610 A120611 A120612 this_sequence A120614 A120615 A120616`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (abmt(AT)orange.fr), Jun 17 2006`

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Last modified March 20 09:10 EDT 2010. Contains 173642 sequences.

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