A040649 Continued fraction for sqrt(675).

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

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 (0,1).

Formula

From Amiram Eldar, Jan 03 2024: (Start)

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

Dirichlet g.f.: zeta(s) * (1 + 49/2^s). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(675)), confrac);

Mathematica

ContinuedFraction[Sqrt[675], 100] (* or *) PadRight[{25}, 120, {50, 1}] (* Harvey P. Dale, Dec 13 2016 *)

Crossrefs

Sequence in context: A040648 A272129 A232989 * A104707 A353700 A040618

Adjacent sequences: A040646 A040647 A040648 * A040650 A040651 A040652

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved