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A040204
Continued fraction for sqrt(219).
1
14, 1, 3, 1, 28, 1, 3, 1, 28, 1, 3, 1, 28, 1, 3, 1, 28, 1, 3, 1, 28, 1, 3, 1, 28, 1, 3, 1, 28, 1, 3, 1, 28, 1, 3, 1, 28, 1, 3, 1, 28, 1, 3, 1, 28, 1, 3, 1, 28, 1, 3, 1, 28, 1, 3, 1, 28, 1, 3, 1, 28, 1, 3, 1, 28, 1, 3, 1, 28, 1, 3, 1, 28, 1, 3, 1, 28, 1, 3, 1, 28, 1, 3, 1
OFFSET
0,1
FORMULA
From Amiram Eldar, Nov 29 2023: (Start)
Multiplicative with a(2) = 3, a(2^e) = 28 for e >= 2, and a(p^e) = 1 for an odd prime p.
Dirichlet g.f.: zeta(s) * (1 + 1/2^(s-1) + 25/4^s). (End)
MAPLE
with(numtheory): Digits := 300: convert(evalf(sqrt(219)), confrac);
MATHEMATICA
ContinuedFraction[Sqrt[219], 100] (* or *) PadRight[{14}, 100, {28, 1, 3, 1}] (* Harvey P. Dale, Nov 20 2022 *)
CROSSREFS
Sequence in context: A040201 A179948 A160495 * A040203 A040205 A171693
KEYWORD
nonn,cofr,easy,mult
STATUS
approved