A040406 Continued fraction for sqrt(427).

20, 1, 1, 1, 40, 1, 1, 1, 40, 1, 1, 1, 40, 1, 1, 1, 40, 1, 1, 1, 40, 1, 1, 1, 40, 1, 1, 1, 40, 1, 1, 1, 40, 1, 1, 1, 40, 1, 1, 1, 40, 1, 1, 1, 40, 1, 1, 1, 40, 1, 1, 1, 40, 1, 1, 1, 40, 1, 1, 1, 40, 1, 1, 1, 40, 1, 1, 1, 40, 1, 1, 1, 40, 1, 1, 1, 40, 1, 1, 1, 40, 1, 1, 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, Dec 20 2023: (Start)

Multiplicative with a(2) = 1, a(2^e) = 40 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 39/2^(2*s)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(427)), confrac);

Mathematica

ContinuedFraction[Sqrt[427], 90] (* or *) PadRight[{20}, 90, {40, 1, 1, 1}] (* Harvey P. Dale, Mar 18 2013 *)

Crossrefs

Sequence in context: A365911 A040404 A040405 * A040403 A040402 A040401

Adjacent sequences: A040403 A040404 A040405 * A040407 A040408 A040409

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved