A040341 Continued fraction for sqrt(360).

18, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36, 1, 36

Offset

0,1

Links

Table of n, a(n) for n=0..74.

Index entries for continued fractions for constants.

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

Formula

a(n) = a(n-2), for n >= 3. - Wesley Ivan Hurt, Apr 16 2023

From Amiram Eldar, Dec 20 2023: (Start)

Multiplicative with a(2^e) = 36, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 35/2^s). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(360)), confrac);

Mathematica

ContinuedFraction[Sqrt[360], 120] (* or *) PadRight[{18}, 120, {36, 1}] (* Harvey P. Dale, Jul 04 2021 *)

Crossrefs

Sequence in context: A040339 A278714 A040340 * A111872 A089275 A182052

Adjacent sequences: A040338 A040339 A040340 * A040342 A040343 A040344

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved