A040404 Continued fraction for sqrt(425).

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

Offset

0,1

Links

Table of n, a(n) for n=0..86.

Index entries for continued fractions for constants.

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,1).

Formula

From Amiram Eldar, Dec 20 2023: (Start)

Multiplicative with a(7^e) = 40, and a(p^e) = 1 for an p != 7.

Dirichlet g.f.: zeta(s) * (1 + 39/7^s). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(425)), confrac);

Mathematica

ContinuedFraction[Sqrt[425], 100] (* Amiram Eldar, Dec 20 2023 *)

Crossrefs

Sequence in context: A198800 A060430 A365911 * A040405 A040406 A040403

Adjacent sequences: A040401 A040402 A040403 * A040405 A040406 A040407

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved