A040868 Continued fraction for sqrt(898).

29, 1, 28, 1, 58, 1, 28, 1, 58, 1, 28, 1, 58, 1, 28, 1, 58, 1, 28, 1, 58, 1, 28, 1, 58, 1, 28, 1, 58, 1, 28, 1, 58, 1, 28, 1, 58, 1, 28, 1, 58, 1, 28, 1, 58, 1, 28, 1, 58, 1, 28, 1, 58, 1, 28, 1, 58, 1, 28, 1, 58, 1, 28, 1, 58, 1, 28, 1, 58, 1, 28, 1, 58, 1, 28

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 17 2024: (Start)

Multiplicative with a(2) = 28, a(2^e) = 58 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 27/2^s + 15/2^(2*s-1)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(898)), confrac);

Mathematica

ContinuedFraction[Sqrt[898], 100] (* Amiram Eldar, Jan 17 2024 *)

Crossrefs

Sequence in context: A040865 A040866 A040867 * A169980 A040869 A111881

Adjacent sequences: A040865 A040866 A040867 * A040869 A040870 A040871

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved