A040793 Continued fraction for sqrt(822).

28, 1, 2, 28, 2, 1, 56, 1, 2, 28, 2, 1, 56, 1, 2, 28, 2, 1, 56, 1, 2, 28, 2, 1, 56, 1, 2, 28, 2, 1, 56, 1, 2, 28, 2, 1, 56, 1, 2, 28, 2, 1, 56, 1, 2, 28, 2, 1, 56, 1, 2, 28, 2, 1, 56, 1, 2, 28, 2, 1, 56, 1, 2, 28, 2, 1, 56, 1, 2, 28, 2, 1, 56, 1, 2, 28, 2, 1, 56, 1, 2

Offset

0,1

Links

Table of n, a(n) for n=0..80.

Index entries for continued fractions for constants.

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

Formula

From Amiram Eldar, Jan 10 2024: (Start)

Multiplicative with a(2^e) = 2, a(3^e) = 28, and a(p^e) = 1 for p >= 5.

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

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(822)), confrac);

Mathematica

ContinuedFraction[Sqrt[822], 100] (* or *) PadRight[{28}, 100, {56, 1, 2, 28, 2, 1}] (* Harvey P. Dale, Jan 15 2023 *)

Crossrefs

Sequence in context: A187595 A040795 A040794 * A040800 A040799 A040798

Adjacent sequences: A040790 A040791 A040792 * A040794 A040795 A040796

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved