A040539 Continued fraction for sqrt(563).

23, 1, 2, 1, 2, 23, 2, 1, 2, 1, 46, 1, 2, 1, 2, 23, 2, 1, 2, 1, 46, 1, 2, 1, 2, 23, 2, 1, 2, 1, 46, 1, 2, 1, 2, 23, 2, 1, 2, 1, 46, 1, 2, 1, 2, 23, 2, 1, 2, 1, 46, 1, 2, 1, 2, 23, 2, 1, 2, 1, 46, 1, 2, 1, 2, 23, 2, 1, 2, 1, 46, 1, 2, 1, 2, 23, 2, 1, 2, 1, 46, 1, 2, 1, 2

Offset

0,1

Links

Table of n, a(n) for n=0..84.

Index entries for continued fractions for constants.

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

Formula

From Amiram Eldar, Dec 27 2023: (Start)

Multiplicative with a(2^e) = 2, a(5^e) = 23, and a(p^e) = 1 for an odd p != 5.

Dirichlet g.f.: zeta(s) * (1 + 1/2^s) * (1 + 22/5^s). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(563)), confrac);

Mathematica

ContinuedFraction[Sqrt[563], 100] (* Amiram Eldar, Dec 27 2023 *)

Crossrefs

Sequence in context: A174729 A022186 A015151 * A040540 A089267 A040538

Adjacent sequences: A040536 A040537 A040538 * A040540 A040541 A040542

Keyword

nonn,cofr,easy,less,mult

Author

N. J. A. Sloane

Status

approved