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A040752
Continued fraction for sqrt(780).
1
27, 1, 12, 1, 54, 1, 12, 1, 54, 1, 12, 1, 54, 1, 12, 1, 54, 1, 12, 1, 54, 1, 12, 1, 54, 1, 12, 1, 54, 1, 12, 1, 54, 1, 12, 1, 54, 1, 12, 1, 54, 1, 12, 1, 54, 1, 12, 1, 54, 1, 12, 1, 54, 1, 12, 1, 54, 1, 12, 1, 54, 1, 12, 1, 54, 1, 12, 1, 54, 1, 12, 1, 54, 1, 12
OFFSET
0,1
FORMULA
From Amiram Eldar, Jan 10 2024: (Start)
Multiplicative with a(2) = 12, a(2^e) = 54 for e >= 2, and a(p^e) = 1 for an odd prime p.
Dirichlet g.f.: zeta(s) * (1 + 11/2^s + 21/2^(2*s-1)). (End)
MAPLE
with(numtheory): Digits := 300: convert(evalf(sqrt(780)), confrac);
MATHEMATICA
ContinuedFraction[Sqrt[780], 120] (* or *) PadRight[{27}, 120, {54, 1, 12, 1}] (* Harvey P. Dale, Apr 23 2016 *)
CROSSREFS
Sequence in context: A040749 A040750 A040751 * A036169 A040753 A040754
KEYWORD
nonn,cofr,easy,mult
STATUS
approved