A040909 Continued fraction for sqrt(940).

30, 1, 1, 1, 14, 1, 1, 1, 60, 1, 1, 1, 14, 1, 1, 1, 60, 1, 1, 1, 14, 1, 1, 1, 60, 1, 1, 1, 14, 1, 1, 1, 60, 1, 1, 1, 14, 1, 1, 1, 60, 1, 1, 1, 14, 1, 1, 1, 60, 1, 1, 1, 14, 1, 1, 1, 60, 1, 1, 1, 14, 1, 1, 1, 60, 1, 1, 1, 14, 1, 1, 1, 60, 1, 1, 1, 14, 1, 1, 1, 60, 1, 1, 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 (0,0,0,0,0,0,0,1).

Formula

From Amiram Eldar, Jan 17 2024: (Start)

Multiplicative with a(2) = 1, a(4) = 14, a(2^e) = 60, for e >= 3, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 23/2^(3*s-1) + 13/2^(2*s)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(940)), confrac);

Mathematica

ContinuedFraction[Sqrt[940], 120] (* or *) PadRight[{30}, 120, {60, 1, 1, 1, 14, 1, 1, 1}] (* Harvey P. Dale, May 04 2014 *)

Crossrefs

Sequence in context: A040906 A040907 A040908 * A040904 A040905 A040903

Adjacent sequences: A040906 A040907 A040908 * A040910 A040911 A040912

Keyword

nonn,cofr,mult,easy

Author

N. J. A. Sloane

Status

approved