A040497 Continued fraction for sqrt(520).

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

Links

Table of n, a(n) for n=0..80.

Index entries for continued fractions for constants.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,1).

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)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(520)), confrac);

Mathematica

ContinuedFraction[Sqrt[520], 100] (* Amiram Eldar, Dec 26 2023 *)

Crossrefs

Sequence in context: A040496 A040495 A040498 * A040499 A040500 A040501

Adjacent sequences: A040494 A040495 A040496 * A040498 A040499 A040500

Keyword

nonn,cofr,easy,less,mult

Author

N. J. A. Sloane

Status

approved