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A040540
Continued fraction for sqrt(564).
1
23, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1
OFFSET
0,1
FORMULA
From Amiram Eldar, Dec 27 2023: (Start)
Multiplicative with a(2) = 2, a(2^e) = 46 for e >= 2, and a(p^e) = 1 for an odd prime p.
Dirichlet g.f.: zeta(s) * (1 + 1/2^s + 11/2^(2*s-2)). (End)
MAPLE
with(numtheory): Digits := 300: convert(evalf(sqrt(564)), confrac);
MATHEMATICA
ContinuedFraction[Sqrt[564], 90] (* Harvey P. Dale, Oct 26 2011 *)
CROSSREFS
Sequence in context: A022186 A015151 A040539 * A089267 A040538 A040537
KEYWORD
nonn,cofr,easy,less,mult
STATUS
approved