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A040411
Continued fraction for sqrt(432).
2
20, 1, 3, 1, 1, 1, 3, 1, 40, 1, 3, 1, 1, 1, 3, 1, 40, 1, 3, 1, 1, 1, 3, 1, 40, 1, 3, 1, 1, 1, 3, 1, 40, 1, 3, 1, 1, 1, 3, 1, 40, 1, 3, 1, 1, 1, 3, 1, 40, 1, 3, 1, 1, 1, 3, 1, 40, 1, 3, 1, 1, 1, 3, 1, 40, 1, 3, 1, 1, 1, 3, 1, 40, 1, 3, 1, 1, 1, 3, 1, 40, 1, 3, 1, 1, 1, 3, 1
OFFSET
0,1
FORMULA
From Amiram Eldar, Dec 20 2023: (Start)
Multiplicative with a(2) = 3, a(4) = 1, a(2^e) = 40 for e >= 3, and a(p^e) = 1 for an odd prime p.
Dirichlet g.f.: zeta(s) * (1 + 1/2^(s-1) - 1/2^(2*s-1) + 39/2^(3*s)). (End)
MAPLE
with(numtheory): Digits := 300: convert(evalf(sqrt(432)), confrac);
MATHEMATICA
ContinuedFraction[Sqrt[432], 120] (* or *) PadRight[{20}, 120, {40, 1, 3, 1, 1, 1, 3, 1}] (* Harvey P. Dale, May 22 2016 *)
CROSSREFS
Sequence in context: A040409 A040408 A040407 * A040410 A040413 A040412
KEYWORD
nonn,cofr,easy,mult
STATUS
approved