A040632 Continued fraction for sqrt(658).

25, 1, 1, 1, 6, 1, 1, 1, 50, 1, 1, 1, 6, 1, 1, 1, 50, 1, 1, 1, 6, 1, 1, 1, 50, 1, 1, 1, 6, 1, 1, 1, 50, 1, 1, 1, 6, 1, 1, 1, 50, 1, 1, 1, 6, 1, 1, 1, 50, 1, 1, 1, 6, 1, 1, 1, 50, 1, 1, 1, 6, 1, 1, 1, 50, 1, 1, 1, 6, 1, 1, 1, 50, 1, 1, 1, 6, 1, 1, 1, 50, 1, 1, 1, 6, 1, 1, 1

Offset

0,1

Links

Table of n, a(n) for n=0..87.

Index entries for continued fractions for constants.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,1).

Formula

From Amiram Eldar, Jan 03 2024: (Start)

Multiplicative with a(2) = 1, a(4) = 6, a(2^e) = 50 for e >= 3, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 5/2^(2*s) + 11/2^(3*s-2)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(658)), confrac);

Mathematica

ContinuedFraction[Sqrt[658], 100] (* Amiram Eldar, Jan 03 2024 *)
PadRight[{25}, 120, {50, 1, 1, 1, 6, 1, 1, 1}] (* Harvey P. Dale, Aug 18 2024 *)

Crossrefs

Sequence in context: A172298 A040630 A040631 * A040628 A040629 A040627

Adjacent sequences: A040629 A040630 A040631 * A040633 A040634 A040635

Keyword

nonn,cofr,easy,mult,less

Author

N. J. A. Sloane

Status

approved