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A079497 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) )). 0
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; refs; listen; history; internal format)
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 * A081835 A177149 A181625

Adjacent sequences:  A079494 A079495 A079496 * A079498 A079499 A079500

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 20 2003

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Last modified February 17 14:50 EST 2012. Contains 206050 sequences.