A040917 Continued fraction for sqrt(948).

30, 1, 3, 1, 3, 20, 3, 1, 3, 1, 60, 1, 3, 1, 3, 20, 3, 1, 3, 1, 60, 1, 3, 1, 3, 20, 3, 1, 3, 1, 60, 1, 3, 1, 3, 20, 3, 1, 3, 1, 60, 1, 3, 1, 3, 20, 3, 1, 3, 1, 60, 1, 3, 1, 3, 20, 3, 1, 3, 1, 60, 1, 3, 1, 3, 20, 3, 1, 3, 1, 60, 1, 3, 1, 3, 20, 3, 1, 3, 1, 60, 1, 3, 1, 3

Offset

0,1

Links

Table of n, a(n) for n=0..84.

Index entries for continued fractions for constants.

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

Formula

From Amiram Eldar, Jan 17 2024: (Start)

Multiplicative with a(2^e) = 3, a(5^e) = 20, and a(p^e) = 1 for an odd prime p != 5.

Dirichlet g.f.: zeta(s) * (1 + 1/2^(s-1)) * (1 + 19/5^s). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(948)), confrac);

Mathematica

ContinuedFraction[Sqrt[948], 120] (* or *) PadRight[{30}, 120, {60, 1, 3, 1, 3, 20, 3, 1, 3, 1}] (* Harvey P. Dale, Aug 21 2016 *)

Crossrefs

Sequence in context: A083253 A040911 A040910 * A040916 A040915 A040919

Adjacent sequences: A040914 A040915 A040916 * A040918 A040919 A040920

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved