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A040294
Continued fraction for sqrt(312).
1
17, 1, 1, 1, 34, 1, 1, 1, 34, 1, 1, 1, 34, 1, 1, 1, 34, 1, 1, 1, 34, 1, 1, 1, 34, 1, 1, 1, 34, 1, 1, 1, 34, 1, 1, 1, 34, 1, 1, 1, 34, 1, 1, 1, 34, 1, 1, 1, 34, 1, 1, 1, 34, 1, 1, 1, 34, 1, 1, 1, 34, 1, 1, 1, 34, 1, 1, 1, 34, 1, 1, 1, 34, 1, 1, 1, 34, 1, 1, 1, 34, 1, 1, 1
OFFSET
0,1
FORMULA
From Amiram Eldar, Dec 10 2023: (Start)
Multiplicative with a(2) = 1, a(2^e) = 34 for e >= 2, and a(p^e) = 1 for an odd prime p.
Dirichlet g.f.: zeta(s) * (1 + 33/4^s). (End)
MAPLE
with(numtheory): Digits := 300: convert(evalf(sqrt(312)), confrac);
MATHEMATICA
ContinuedFraction[Sqrt[312], 100] (* or *) PadRight[{17}, 100, {34, 1, 1, 1}] (* Harvey P. Dale, Apr 20 2022 *)
CROSSREFS
Sequence in context: A040292 A040293 A351307 * A040291 A040290 A201134
KEYWORD
nonn,cofr,easy,mult
STATUS
approved