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A040208
Continued fraction for sqrt(223).
1
14, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13, 1, 28, 1, 13
OFFSET
0,1
FORMULA
From Amiram Eldar, Nov 29 2023: (Start)
Multiplicative with a(2) = 13, a(2^e) = 28 for e >= 2, and a(p^e) = 1 for an odd prime p.
Dirichlet g.f.: zeta(s) * (1 + 3/2^(s-2) + 15/4^s). (End)
MAPLE
with(numtheory): Digits := 300: convert(evalf(sqrt(223)), confrac);
MATHEMATICA
ContinuedFraction[Sqrt[223], 100] (* Amiram Eldar, Nov 29 2023 *)
CROSSREFS
Sequence in context: A040206 A040207 A036163 * A097181 A040209 A071713
KEYWORD
nonn,cofr,easy,mult
STATUS
approved