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A040497
Continued fraction for sqrt(520).
2
22, 1, 4, 11, 4, 1, 44, 1, 4, 11, 4, 1, 44, 1, 4, 11, 4, 1, 44, 1, 4, 11, 4, 1, 44, 1, 4, 11, 4, 1, 44, 1, 4, 11, 4, 1, 44, 1, 4, 11, 4, 1, 44, 1, 4, 11, 4, 1, 44, 1, 4, 11, 4, 1, 44, 1, 4, 11, 4, 1, 44, 1, 4, 11, 4, 1, 44, 1, 4, 11, 4, 1, 44, 1, 4, 11, 4, 1, 44, 1, 4
OFFSET
0,1
FORMULA
From Amiram Eldar, Dec 26 2023: (Start)
Multiplicative with a(2^e) = 4, a(3^e) = 11, and a(p^e) = 1 for an odd prime p >= 5.
Dirichlet g.f.: zeta(s) * (1 + 3/2^s) * (1 + 10/3^s). (End)
Sum_{k=1..n} a(k) ~ 65*n/6. - Vaclav Kotesovec, Nov 08 2024
MAPLE
with(numtheory): Digits := 300: convert(evalf(sqrt(520)), confrac);
MATHEMATICA
ContinuedFraction[Sqrt[520], 100] (* Amiram Eldar, Dec 26 2023 *)
PadRight[{22}, 120, {44, 1, 4, 11, 4, 1}] (* Harvey P. Dale, Nov 08 2024 *)
CROSSREFS
Sequence in context: A040496 A040495 A040498 * A040499 A040500 A040501
KEYWORD
nonn,cofr,easy,less,mult
STATUS
approved