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A010144 Continued fraction for sqrt(59). 3
7, 1, 2, 7, 2, 1, 14, 1, 2, 7, 2, 1, 14, 1, 2, 7, 2, 1, 14, 1, 2, 7, 2, 1, 14, 1, 2, 7, 2, 1, 14, 1, 2, 7, 2, 1, 14, 1, 2, 7, 2, 1, 14, 1, 2, 7, 2, 1, 14, 1, 2, 7, 2, 1, 14, 1, 2, 7, 2, 1, 14, 1, 2, 7, 2, 1, 14, 1, 2, 7, 2, 1, 14, 1, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
G. Xiao, Contfrac.
FORMULA
From Amiram Eldar, Nov 13 2023: (Start)
Multiplicative with a(2^e) = 2, a(3^e) = 7, and a(p^e) = 1 for p >= 5.
Dirichlet g.f.: zeta(s) * (1 + 1/2^s) * (1 + 2/3^(s-1)). (End)
EXAMPLE
7.681145747868608175769687021... = 7 + 1/(1 + 1/(2 + 1/(7 + 1/(2 + ...)))). - Harry J. Smith, Jun 07 2009
MATHEMATICA
ContinuedFraction[Sqrt[59], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 07 2011 *)
PadRight[{7}, 120, {14, 1, 2, 7, 2, 1}] (* Harvey P. Dale, May 15 2017 *)
PROG
(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(59)); for (n=0, 20000, write("b010144.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 07 2009
CROSSREFS
Cf. A010512 (decimal expansion).
Sequence in context: A238273 A155773 A215670 * A195409 A318353 A354639
KEYWORD
nonn,cofr,easy,mult
AUTHOR
STATUS
approved

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Last modified March 29 05:48 EDT 2024. Contains 371265 sequences. (Running on oeis4.)