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A010143
Continued fraction for sqrt(58).
3
7, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 1, 1, 1, 14, 1, 1, 1, 1, 1, 1
OFFSET
0,1
FORMULA
From Amiram Eldar, Nov 12 2023: (Start)
Multiplicative with a(7^e) = 14, and a(p^e) = 1 for p != 7.
Dirichlet g.f.: zeta(s) * (1 + 13/7^s). (End)
EXAMPLE
7.615773105863908285661411027... = 7 + 1/(1 + 1/(1 + 1/(1 + 1/(1 + ...)))). - Harry J. Smith, Jun 07 2009
MATHEMATICA
ContinuedFraction[Sqrt[58], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 07 2011 *)
PROG
(PARI) { allocatemem(932245000); default(realprecision, 14000); x=contfrac(sqrt(58)); for (n=0, 20000, write("b010143.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 07 2009
CROSSREFS
Cf. A010511 (decimal expansion).
Sequence in context: A109010 A268354 A117825 * A101027 A129408 A339748
KEYWORD
nonn,cofr,easy,mult
STATUS
approved