login
A040549
Continued fraction for sqrt(573).
1
23, 1, 14, 1, 46, 1, 14, 1, 46, 1, 14, 1, 46, 1, 14, 1, 46, 1, 14, 1, 46, 1, 14, 1, 46, 1, 14, 1, 46, 1, 14, 1, 46, 1, 14, 1, 46, 1, 14, 1, 46, 1, 14, 1, 46, 1, 14, 1, 46, 1, 14, 1, 46, 1, 14, 1, 46, 1, 14, 1, 46, 1, 14, 1, 46, 1, 14, 1, 46, 1, 14, 1, 46, 1, 14
OFFSET
0,1
FORMULA
From Amiram Eldar, Dec 27 2023: (Start)
Multiplicative with a(2) = 14, a(2^e) = 46 for e >= 2, and a(p^e) = 1 for an odd prime p.
Dirichlet g.f.: zeta(s) * (1 + 13/2^s + 1/2^(2*s-5)). (End)
MAPLE
with(numtheory): Digits := 300: convert(evalf(sqrt(573)), confrac);
MATHEMATICA
ContinuedFraction[Sqrt[573], 100] (* Amiram Eldar, Dec 27 2023 *)
PadRight[{23}, 120, {46, 1, 14, 1}] (* Harvey P. Dale, Apr 03 2025 *)
CROSSREFS
Sequence in context: A040548 A189048 A383607 * A069890 A040550 A040551
KEYWORD
nonn,cofr,easy,less,mult
STATUS
approved