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A040303
Continued fraction for sqrt(321).
1
17, 1, 10, 1, 34, 1, 10, 1, 34, 1, 10, 1, 34, 1, 10, 1, 34, 1, 10, 1, 34, 1, 10, 1, 34, 1, 10, 1, 34, 1, 10, 1, 34, 1, 10, 1, 34, 1, 10, 1, 34, 1, 10, 1, 34, 1, 10, 1, 34, 1, 10, 1, 34, 1, 10, 1, 34, 1, 10, 1, 34, 1, 10, 1, 34, 1, 10, 1, 34, 1, 10, 1, 34, 1, 10
OFFSET
0,1
FORMULA
From Amiram Eldar, Dec 10 2023: (Start)
Multiplicative with a(2) = 10, a(2^e) = 34 for e >= 2, and a(p^e) = 1 for an odd prime p.
Dirichlet g.f.: zeta(s) * (1 + 9/2^s + 3/2^(2*s-3)). (End)
MAPLE
with(numtheory): Digits := 300: convert(evalf(sqrt(321)), confrac);
MATHEMATICA
ContinuedFraction[Sqrt[321], 100] (* or *) PadRight[{17}, 100, {34, 1, 10, 1}] (* Harvey P. Dale, Feb 28 2022 *)
CROSSREFS
Sequence in context: A040302 A269481 A229201 * A040304 A347142 A347143
KEYWORD
nonn,cofr,easy,mult
STATUS
approved