id:A079497 - OEIS Search Results

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a(1)=1, for n>2 a(n) is the smallest integer > a(n-1) such that sqrt(5)*a(n) is closer and > to an integer than sqrt(5)*a(n-1) ( i.e. a(n) is the smallest integer > a(n-1) such that frac(sqrt(5)*a(n))<frac(sqrt(5)*a(n-1) )).

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1, 5, 9, 13, 17, 89, 161, 233, 305, 1597, 2889, 4181, 5473, 28657, 51841, 75025, 98209, 514229, 930249, 1346269, 1762289, 9227465, 16692641, 24157817, 31622993, 165580141, 299537289, 433494437, 567451585, 2971215073, 5374978561 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`a(1)=1 a(2)=5 a(3)=9 a(4)=13 for n>4 if n==1 mod 4 a(n)=6a(n)-a(n-1) a(n)=2a(n)-a(n-1) otherwise`
	CROSSREFS	`Cf. A005246.` `Sequence in context: A032493 A125018 A074787 this_sequence A081835 A088907 A046586` `Adjacent sequences: A079494 A079495 A079496 this_sequence A079498 A079499 A079500`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 20 2003`

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Last modified November 22 20:51 EST 2009. Contains 167312 sequences.

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