A040504 Continued fraction for sqrt(527).

22, 1, 21, 1, 44, 1, 21, 1, 44, 1, 21, 1, 44, 1, 21, 1, 44, 1, 21, 1, 44, 1, 21, 1, 44, 1, 21, 1, 44, 1, 21, 1, 44, 1, 21, 1, 44, 1, 21, 1, 44, 1, 21, 1, 44, 1, 21, 1, 44, 1, 21, 1, 44, 1, 21, 1, 44, 1, 21, 1, 44, 1, 21, 1, 44, 1, 21, 1, 44, 1, 21, 1, 44, 1, 21

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 (0,0,0,1).

Formula

From Amiram Eldar, Dec 26 2023: (Start)

Multiplicative with a(2) = 21, a(2^e) = 44 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 5/2^(s-2) + 23/2^(2*s)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(527)), confrac);

Mathematica

ContinuedFraction[Sqrt[527], 100] (* Amiram Eldar, Dec 26 2023 *)

Crossrefs

Sequence in context: A040501 A040502 A040503 * A229555 A040505 A040478

Adjacent sequences: A040501 A040502 A040503 * A040505 A040506 A040507

Keyword

nonn,cofr,easy,less,mult

Author

N. J. A. Sloane

Status

approved