A040646 Continued fraction for sqrt(672).

25, 1, 11, 1, 50, 1, 11, 1, 50, 1, 11, 1, 50, 1, 11, 1, 50, 1, 11, 1, 50, 1, 11, 1, 50, 1, 11, 1, 50, 1, 11, 1, 50, 1, 11, 1, 50, 1, 11, 1, 50, 1, 11, 1, 50, 1, 11, 1, 50, 1, 11, 1, 50, 1, 11, 1, 50, 1, 11, 1, 50, 1, 11, 1, 50, 1, 11, 1, 50, 1, 11, 1, 50, 1, 11

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) = 11, a(2^e) = 50 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 5/2^(s-1) + 39/2^(2*s)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(672)), confrac);

Mathematica

ContinuedFraction[Sqrt[672], 100] (* or *) PadRight[{25}, 100, {50, 1, 11, 1}] (* Harvey P. Dale, Apr 19 2022 *)

Crossrefs

Sequence in context: A040643 A040644 A040645 * A040647 A126647 A040648

Adjacent sequences: A040643 A040644 A040645 * A040647 A040648 A040649

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved