A040598 Continued fraction for sqrt(623).

24, 1, 23, 1, 48, 1, 23, 1, 48, 1, 23, 1, 48, 1, 23, 1, 48, 1, 23, 1, 48, 1, 23, 1, 48, 1, 23, 1, 48, 1, 23, 1, 48, 1, 23, 1, 48, 1, 23, 1, 48, 1, 23, 1, 48, 1, 23, 1, 48, 1, 23, 1, 48, 1, 23, 1, 48, 1, 23, 1, 48, 1, 23, 1, 48, 1, 23, 1, 48, 1, 23, 1, 48, 1, 23

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, Jan 03 2024: (Start)

Multiplicative with a(2) = 23, a(2^e) = 48 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 11/2^(s-1) + 25/2^(2*s)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(623)), confrac);

Mathematica

ContinuedFraction[Sqrt[623], 100] (* Amiram Eldar, Jan 03 2024 *)

Crossrefs

Sequence in context: A040597 A036166 A097013 * A097190 A103903 A280631

Adjacent sequences: A040595 A040596 A040597 * A040599 A040600 A040601

Keyword

nonn,cofr,easy,mult,less

Author

N. J. A. Sloane

Status

approved