A040648 Continued fraction for sqrt(674).

25, 1, 24, 1, 50, 1, 24, 1, 50, 1, 24, 1, 50, 1, 24, 1, 50, 1, 24, 1, 50, 1, 24, 1, 50, 1, 24, 1, 50, 1, 24, 1, 50, 1, 24, 1, 50, 1, 24, 1, 50, 1, 24, 1, 50, 1, 24, 1, 50, 1, 24, 1, 50, 1, 24, 1, 50, 1, 24, 1, 50, 1, 24, 1, 50, 1, 24, 1, 50, 1, 24, 1, 50, 1, 24

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) = 24, a(2^e) = 50 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 23/2^s + 13/2^(2*s-1)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(674)), confrac);

Mathematica

ContinuedFraction[Sqrt[674], 100] (* Amiram Eldar, Jan 03 2024 *)

Crossrefs

Sequence in context: A040647 A377611 A126647 * A272129 A232989 A040649

Adjacent sequences: A040645 A040646 A040647 * A040649 A040650 A040651

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved