A040200 Continued fraction for sqrt(215).

14, 1, 1, 1, 28, 1, 1, 1, 28, 1, 1, 1, 28, 1, 1, 1, 28, 1, 1, 1, 28, 1, 1, 1, 28, 1, 1, 1, 28, 1, 1, 1, 28, 1, 1, 1, 28, 1, 1, 1, 28, 1, 1, 1, 28, 1, 1, 1, 28, 1, 1, 1, 28, 1, 1, 1, 28, 1, 1, 1, 28, 1, 1, 1, 28, 1, 1, 1, 28, 1, 1, 1, 28, 1, 1, 1, 28, 1, 1, 1, 28, 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 (0,0,0,1).

Formula

From Amiram Eldar, Nov 29 2023: (Start)

Multiplicative with a(2) = 1, a(2^e) = 28 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 27/4^s). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(215)), confrac);

Mathematica

ContinuedFraction[Sqrt[215], 90] (* Harvey P. Dale, Nov 24 2011 *)
PadRight[{14}, 90, {28, 1, 1, 1}] (* Harvey P. Dale, Aug 05 2021 *)

Crossrefs

Sequence in context: A232210 A040199 A173747 * A040198 A040197 A040196

Adjacent sequences: A040197 A040198 A040199 * A040201 A040202 A040203

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved