A040637 Continued fraction for sqrt(663).

25, 1, 2, 1, 50, 1, 2, 1, 50, 1, 2, 1, 50, 1, 2, 1, 50, 1, 2, 1, 50, 1, 2, 1, 50, 1, 2, 1, 50, 1, 2, 1, 50, 1, 2, 1, 50, 1, 2, 1, 50, 1, 2, 1, 50, 1, 2, 1, 50, 1, 2, 1, 50, 1, 2, 1, 50, 1, 2, 1, 50, 1, 2, 1, 50, 1, 2, 1, 50, 1, 2, 1, 50, 1, 2, 1, 50, 1, 2, 1, 50, 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, Jan 03 2024: (Start)

Multiplicative with a(2) = 2, a(2^e) = 50 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 1/2^s + 3/2^(2*s-4)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(663)), confrac);

Mathematica

ContinuedFraction[Sqrt[663], 90] (* Harvey P. Dale, Oct 31 2011 *)

Crossrefs

Sequence in context: A203550 A022188 A040636 * A040635 A040634 A104666

Adjacent sequences: A040634 A040635 A040636 * A040638 A040639 A040640

Keyword

nonn,cofr,easy,mult,less

Author

N. J. A. Sloane

Status

approved