A040749 Continued fraction for sqrt(777).

27, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 1, 54, 1, 6, 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) = 6, a(2^e) = 54 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 5/2^s + 3/2^(2*s-4)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(777)), confrac);

Mathematica

ContinuedFraction[Sqrt[777], 120]  (* Harvey P. Dale, Apr 22 2011 *)

Crossrefs

Sequence in context: A040745 A040748 A040747 * A040750 A040751 A040752

Adjacent sequences: A040746 A040747 A040748 * A040750 A040751 A040752

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved