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A040696
Continued fraction for sqrt(723).
1
26, 1, 7, 1, 52, 1, 7, 1, 52, 1, 7, 1, 52, 1, 7, 1, 52, 1, 7, 1, 52, 1, 7, 1, 52, 1, 7, 1, 52, 1, 7, 1, 52, 1, 7, 1, 52, 1, 7, 1, 52, 1, 7, 1, 52, 1, 7, 1, 52, 1, 7, 1, 52, 1, 7, 1, 52, 1, 7, 1, 52, 1, 7, 1, 52, 1, 7, 1, 52, 1, 7, 1, 52, 1, 7, 1, 52, 1, 7, 1, 52, 1, 7, 1
OFFSET
0,1
FORMULA
From Amiram Eldar, Jan 03 2024: (Start)
Multiplicative with a(2) = 7, 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-1) + 45/2^(2*s)). (End)
MAPLE
with(numtheory): Digits := 300: convert(evalf(sqrt(723)), confrac);
MATHEMATICA
ContinuedFraction[Sqrt[723], 120] (* Harvey P. Dale, Jun 02 2011 *)
CROSSREFS
Sequence in context: A040694 A255863 A040695 * A040697 A040698 A040699
KEYWORD
nonn,cofr,easy,mult
STATUS
approved