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A040546
Continued fraction for sqrt(570).
1
23, 1, 6, 1, 46, 1, 6, 1, 46, 1, 6, 1, 46, 1, 6, 1, 46, 1, 6, 1, 46, 1, 6, 1, 46, 1, 6, 1, 46, 1, 6, 1, 46, 1, 6, 1, 46, 1, 6, 1, 46, 1, 6, 1, 46, 1, 6, 1, 46, 1, 6, 1, 46, 1, 6, 1, 46, 1, 6, 1, 46, 1, 6, 1, 46, 1, 6, 1, 46, 1, 6, 1, 46, 1, 6, 1, 46, 1, 6, 1, 46, 1, 6, 1
OFFSET
0,1
FORMULA
From Amiram Eldar, Dec 27 2023: (Start)
Multiplicative with a(2) = 6, a(2^e) = 46 for e >= 2, and a(p^e) = 1 for an odd prime p.
Dirichlet g.f.: zeta(s) * (1 + 5/2^s + 5/2^(2*s-3)). (End)
MAPLE
with(numtheory): Digits := 300: convert(evalf(sqrt(570)), confrac);
MATHEMATICA
ContinuedFraction[Sqrt[570], 100] (* Amiram Eldar, Dec 27 2023 *)
CROSSREFS
Sequence in context: A040544 A040543 A040545 * A040547 A040548 A189048
KEYWORD
nonn,cofr,easy,less,mult
STATUS
approved