A040109 Continued fraction for sqrt(120).

10, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1, 20, 1

Offset

0,1

Links

Table of n, a(n) for n=0..65.

Index entries for continued fractions for constants.

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

Formula

From Amiram Eldar, Nov 15 2023: (Start)

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

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

Maple

Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'):

Mathematica

ContinuedFraction[Sqrt[120], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 11 2011*)

Crossrefs

Cf. A245294.

Sequence in context: A342638 A220448 A059920 * A317054 A292690 A362371

Adjacent sequences: A040106 A040107 A040108 * A040110 A040111 A040112

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane.

Status

approved