A040921 Continued fraction for sqrt(952).

30, 1, 5, 1, 6, 1, 5, 1, 60, 1, 5, 1, 6, 1, 5, 1, 60, 1, 5, 1, 6, 1, 5, 1, 60, 1, 5, 1, 6, 1, 5, 1, 60, 1, 5, 1, 6, 1, 5, 1, 60, 1, 5, 1, 6, 1, 5, 1, 60, 1, 5, 1, 6, 1, 5, 1, 60, 1, 5, 1, 6, 1, 5, 1, 60, 1, 5, 1, 6, 1, 5, 1, 60, 1, 5, 1, 6, 1, 5, 1, 60, 1, 5, 1, 6, 1, 5, 1

Offset

0,1

Links

Table of n, a(n) for n=0..87.

Index entries for continued fractions for constants.

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

Formula

From Amiram Eldar, Jan 17 2024: (Start)

Multiplicative with a(2) = 5, a(4) = 6, a(2^e) = 60 for e >=3, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 1/2^(s-2) + 1/2^(2*s) + 27/2^(3*s-1)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(952)), confrac);

Mathematica

ContinuedFraction[Sqrt[952], 100] (* Amiram Eldar, Jan 17 2024 *)

Crossrefs

Sequence in context: A040915 A040919 A040918 * A040920 A040922 A040923

Adjacent sequences: A040918 A040919 A040920 * A040922 A040923 A040924

Keyword

nonn,cofr,mult,easy

Author

N. J. A. Sloane

Status

approved