A040789 Continued fraction for sqrt(818).

28, 1, 1, 1, 1, 56, 1, 1, 1, 1, 56, 1, 1, 1, 1, 56, 1, 1, 1, 1, 56, 1, 1, 1, 1, 56, 1, 1, 1, 1, 56, 1, 1, 1, 1, 56, 1, 1, 1, 1, 56, 1, 1, 1, 1, 56, 1, 1, 1, 1, 56, 1, 1, 1, 1, 56, 1, 1, 1, 1, 56, 1, 1, 1, 1, 56, 1, 1, 1, 1, 56, 1, 1, 1, 1, 56, 1, 1, 1, 1, 56, 1, 1, 1, 1

Offset

0,1

Links

Table of n, a(n) for n=0..84.

Index entries for continued fractions for constants.

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

Formula

From Amiram Eldar, Jan 10 2024: (Start)

Multiplicative with a(5^e) = 56, and a(p^e) = 1 for p != 5.

Dirichlet g.f.: zeta(s) * (1 + 11/5^(s-1)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(818)), confrac);

Mathematica

ContinuedFraction[Sqrt[818], 90] (* or *) PadRight[{28}, 90, {56, 1, 1, 1, 1}] (* Harvey P. Dale, Mar 10 2013 *)

Crossrefs

Sequence in context: A022067 A284454 A040790 * A040791 A040792 A040788

Adjacent sequences: A040786 A040787 A040788 * A040790 A040791 A040792

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved