A040928 Continued fraction for sqrt(959).

30, 1, 29, 1, 60, 1, 29, 1, 60, 1, 29, 1, 60, 1, 29, 1, 60, 1, 29, 1, 60, 1, 29, 1, 60, 1, 29, 1, 60, 1, 29, 1, 60, 1, 29, 1, 60, 1, 29, 1, 60, 1, 29, 1, 60, 1, 29, 1, 60, 1, 29, 1, 60, 1, 29, 1, 60, 1, 29, 1, 60, 1, 29, 1, 60, 1, 29, 1, 60, 1, 29, 1, 60, 1, 29

Offset

0,1

Links

Table of n, a(n) for n=0..74.

Index entries for continued fractions for constants.

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

Formula

a(n) = a(n-4) for n >= 5. - Wesley Ivan Hurt, Sep 03 2022

From Amiram Eldar, Jan 17 2024: (Start)

Multiplicative with a(2) = 29, a(2^e) = 60 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 7/2^(s-2) + 31/2^(2*s)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(959)), confrac);

Mathematica

ContinuedFraction[Sqrt[959], 80] (* or *) PadRight[{30}, 80, {60, 1, 29, 1}] (* Harvey P. Dale, May 03 2013 *)

Crossrefs

Sequence in context: A040925 A040926 A040927 * A040929 A379448 A040892

Adjacent sequences: A040925 A040926 A040927 * A040929 A040930 A040931

Keyword

nonn,cofr,mult,easy

Author

N. J. A. Sloane

Status

approved