A040700 Continued fraction for sqrt(727).

26, 1, 25, 1, 52, 1, 25, 1, 52, 1, 25, 1, 52, 1, 25, 1, 52, 1, 25, 1, 52, 1, 25, 1, 52, 1, 25, 1, 52, 1, 25, 1, 52, 1, 25, 1, 52, 1, 25, 1, 52, 1, 25, 1, 52, 1, 25, 1, 52, 1, 25, 1, 52, 1, 25, 1, 52, 1, 25, 1, 52, 1, 25, 1, 52, 1, 25, 1, 52, 1, 25, 1, 52, 1, 25

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 10 2024: (Start)

Multiplicative with a(2) = 25, a(2^e) = 52 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 3/2^(s-3) + 27/2^(2*s)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(727)), confrac);

Mathematica

ContinuedFraction[Sqrt[727], 100] (* Amiram Eldar, Jan 10 2024 *)

Crossrefs

Sequence in context: A040697 A040698 A040699 * A070614 A040701 A050459

Adjacent sequences: A040697 A040698 A040699 * A040701 A040702 A040703

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved