A040232 Continued fraction for sqrt(248).

15, 1, 2, 1, 30, 1, 2, 1, 30, 1, 2, 1, 30, 1, 2, 1, 30, 1, 2, 1, 30, 1, 2, 1, 30, 1, 2, 1, 30, 1, 2, 1, 30, 1, 2, 1, 30, 1, 2, 1, 30, 1, 2, 1, 30, 1, 2, 1, 30, 1, 2, 1, 30, 1, 2, 1, 30, 1, 2, 1, 30, 1, 2, 1, 30, 1, 2, 1, 30, 1, 2, 1, 30, 1, 2, 1, 30, 1, 2, 1, 30, 1, 2, 1

Offset

0,1

Links

Table of n, a(n) for n=0..83.

Index entries for continued fractions for constants.

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

Formula

From Amiram Eldar, Nov 29 2023: (Start)

Multiplicative with a(2) = 2, a(2^e) = 30 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 1/2^s + 7/4^(s-1)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(248)), confrac);

Mathematica

ContinuedFraction[Sqrt[248], 100] (* Amiram Eldar, Nov 29 2023 *)

Crossrefs

Sequence in context: A176639 A015139 A040231 * A040230 A040233 A040234

Adjacent sequences: A040229 A040230 A040231 * A040233 A040234 A040235

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved