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A040544
Continued fraction for sqrt(568).
1
23, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1, 46, 1, 4, 1
OFFSET
0,1
FORMULA
From Amiram Eldar, Dec 27 2023: (Start)
Multiplicative with a(2) = 4, a(2^e) = 46 for e >= 2, and a(p^e) = 1 for an odd prime p.
Dirichlet g.f.: zeta(s) * (1 + 3/2^s + 21/2^(2*s-1)). (End)
MAPLE
with(numtheory): Digits := 300: convert(evalf(sqrt(568)), confrac);
MATHEMATICA
ContinuedFraction[Sqrt[568], 120] (* or *) PadRight[{23}, 120, {46, 1, 4, 1}] (* Harvey P. Dale, Dec 05 2014 *)
CROSSREFS
Sequence in context: A040537 A040542 A040541 * A040543 A040545 A040546
KEYWORD
nonn,cofr,easy,less,mult
STATUS
approved