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A040699
Continued fraction for sqrt(726).
1
26, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16, 1, 52, 1, 16
OFFSET
0,1
FORMULA
From Amiram Eldar, Jan 10 2024: (Start)
Multiplicative with a(2) = 16, a(2^e) = 52 for e >= 2, and a(p^e) = 1 for an odd prime p.
Dirichlet g.f.: zeta(s) * (1 + 3/2^(s-2) + 3/2^s + 9/2^(2*s-2)). (End)
MAPLE
with(numtheory): Digits := 300: convert(evalf(sqrt(726)), confrac);
MATHEMATICA
ContinuedFraction[Sqrt[726], 100] (* or *) PadRight[{26}, 100, {52, 1, 16, 1}] (* Harvey P. Dale, Jul 31 2021 *)
CROSSREFS
Sequence in context: A040696 A040697 A040698 * A040700 A070614 A040701
KEYWORD
nonn,cofr,easy,mult
STATUS
approved