A040417 Continued fraction for sqrt(438).

20, 1, 12, 1, 40, 1, 12, 1, 40, 1, 12, 1, 40, 1, 12, 1, 40, 1, 12, 1, 40, 1, 12, 1, 40, 1, 12, 1, 40, 1, 12, 1, 40, 1, 12, 1, 40, 1, 12, 1, 40, 1, 12, 1, 40, 1, 12, 1, 40, 1, 12, 1, 40, 1, 12, 1, 40, 1, 12, 1, 40, 1, 12, 1, 40, 1, 12, 1, 40, 1, 12, 1, 40, 1, 12

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, Dec 20 2023: (Start)

Multiplicative with a(2) = 12, a(2^e) = 40 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 1/2^(s-2) + 7/2^s + 7/2^(2*s-2)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(438)), confrac);

Mathematica

ContinuedFraction[Sqrt[438], 100] (* Amiram Eldar, Dec 20 2023 *)

Crossrefs

Sequence in context: A040415 A040416 A347691 * A278414 A003833 A040418

Adjacent sequences: A040414 A040415 A040416 * A040418 A040419 A040420

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved