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A040866 Continued fraction for sqrt(896). 1
29, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13, 1, 58, 1, 13 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
FORMULA
From Amiram Eldar, Jan 17 2024: (Start)
Multiplicative with a(2) = 13, a(2^e) = 58 for e >= 2, and a(p^e) = 1 for an odd prime p.
Dirichlet g.f.: zeta(s) * (1 + 3/2^(s-2) + 45/2^(2*s)). (End)
MAPLE
with(numtheory): Digits := 300: convert(evalf(sqrt(896)), confrac);
MATHEMATICA
ContinuedFraction[Sqrt[896], 100] (* or *) PadRight[{29}, 100, {58, 1, 13, 1}] (* Harvey P. Dale, Mar 14 2014 *)
CROSSREFS
Sequence in context: A040863 A040864 A040865 * A040867 A040868 A169980
KEYWORD
nonn,cofr,easy,mult
AUTHOR
STATUS
approved

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Last modified March 29 06:15 EDT 2024. Contains 371265 sequences. (Running on oeis4.)