A040754 Continued fraction for sqrt(782).

27, 1, 26, 1, 54, 1, 26, 1, 54, 1, 26, 1, 54, 1, 26, 1, 54, 1, 26, 1, 54, 1, 26, 1, 54, 1, 26, 1, 54, 1, 26, 1, 54, 1, 26, 1, 54, 1, 26, 1, 54, 1, 26, 1, 54, 1, 26, 1, 54, 1, 26, 1, 54, 1, 26, 1, 54, 1, 26, 1, 54, 1, 26, 1, 54, 1, 26, 1, 54, 1, 26, 1, 54, 1, 26

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, Jan 10 2024: (Start)

Multiplicative with a(2) = 26, a(2^e) = 54 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 25/2^s + 7/2^(2*s-2)). (End)

Maple

with(numtheory): Digits := 300: convert(evalf(sqrt(782)), confrac);

Mathematica

ContinuedFraction[Sqrt[782], 80] (* or *) PadRight[{27, 1, 26, 1}, 80, {54, 1, 26, 1}] (* Harvey P. Dale, Dec 13 2011 *)

Crossrefs

Sequence in context: A040752 A036169 A040753 * A059952 A244110 A338659

Adjacent sequences: A040751 A040752 A040753 * A040755 A040756 A040757

Keyword

nonn,cofr,easy,mult

Author

N. J. A. Sloane

Status

approved