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A040413
Continued fraction for sqrt(434).
1
20, 1, 4, 1, 40, 1, 4, 1, 40, 1, 4, 1, 40, 1, 4, 1, 40, 1, 4, 1, 40, 1, 4, 1, 40, 1, 4, 1, 40, 1, 4, 1, 40, 1, 4, 1, 40, 1, 4, 1, 40, 1, 4, 1, 40, 1, 4, 1, 40, 1, 4, 1, 40, 1, 4, 1, 40, 1, 4, 1, 40, 1, 4, 1, 40, 1, 4, 1, 40, 1, 4, 1, 40, 1, 4, 1, 40, 1, 4, 1, 40, 1, 4, 1
OFFSET
0,1
FORMULA
From Amiram Eldar, Dec 20 2023: (Start)
Multiplicative with a(2) = 4, a(2^e) = 40 for e >= 2, and a(p^e) = 1 for an odd prime p.
Dirichlet g.f.: zeta(s) * (1 + 3/2^s + 9/2^(2*s-2)). (End)
MAPLE
with(numtheory): Digits := 300: convert(evalf(sqrt(434)), confrac);
MATHEMATICA
ContinuedFraction[Sqrt[434], 100] (* Harvey P. Dale, Feb 27 2012 *)
CROSSREFS
Sequence in context: A040407 A040411 A040410 * A040412 A040414 A040415
KEYWORD
nonn,cofr,easy,mult
STATUS
approved