A040236 Continued fraction for sqrt(252).

15, 1, 6, 1, 30, 1, 6, 1, 30, 1, 6, 1, 30, 1, 6, 1, 30, 1, 6, 1, 30, 1, 6, 1, 30, 1, 6, 1, 30, 1, 6, 1, 30, 1, 6, 1, 30, 1, 6, 1, 30, 1, 6, 1, 30, 1, 6, 1, 30, 1, 6, 1, 30, 1, 6, 1, 30, 1, 6, 1, 30, 1, 6, 1, 30, 1, 6, 1, 30, 1, 6, 1, 30, 1, 6, 1, 30, 1, 6, 1, 30, 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, Nov 29 2023: (Start)

Multiplicative with a(2) = 6, a(2^e) = 30 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-3)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(252)), confrac);

Mathematica

ContinuedFraction[Sqrt[252], 100] (* Amiram Eldar, Nov 29 2023 *)

Crossrefs

Sequence in context: A040233 A040234 A040235 * A331019 A185903 A040237

Adjacent sequences: A040233 A040234 A040235 * A040237 A040238 A040239

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved