A040748 Continued fraction for sqrt(776).

27, 1, 5, 1, 54, 1, 5, 1, 54, 1, 5, 1, 54, 1, 5, 1, 54, 1, 5, 1, 54, 1, 5, 1, 54, 1, 5, 1, 54, 1, 5, 1, 54, 1, 5, 1, 54, 1, 5, 1, 54, 1, 5, 1, 54, 1, 5, 1, 54, 1, 5, 1, 54, 1, 5, 1, 54, 1, 5, 1, 54, 1, 5, 1, 54, 1, 5, 1, 54, 1, 5, 1, 54, 1, 5, 1, 54, 1, 5, 1, 54, 1, 5, 1

Offset

0,1

Links

Table of n, a(n) for n=0..83.

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 10 2024: (Start)

Multiplicative with a(2) = 5, a(2^e) = 54 for e >= 2, and a(p^e) = 1 for an odd prime p.

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

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(776)), confrac);

Mathematica

ContinuedFraction[Sqrt[776], 100] (* or *) PadRight[{27}, 100, {54, 1, 5, 1}] (* Harvey P. Dale, Nov 16 2022 *)

Crossrefs

Sequence in context: A040743 A040746 A040745 * A040747 A040749 A040750

Adjacent sequences: A040745 A040746 A040747 * A040749 A040750 A040751

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved