A040540 - OEIS

A040540

Continued fraction for sqrt(564).

23, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1, 46, 1, 2, 1

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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, Dec 27 2023: (Start)

Multiplicative with a(2) = 2, a(2^e) = 46 for e >= 2, and a(p^e) = 1 for an odd prime p.

Dirichlet g.f.: zeta(s) * (1 + 1/2^s + 11/2^(2*s-2)). (End)

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(564)), confrac);

MATHEMATICA

ContinuedFraction[Sqrt[564], 90] (* Harvey P. Dale, Oct 26 2011 *)

CROSSREFS

Sequence in context: A022186 A015151 A040539 * A089267 A040538 A040537

Adjacent sequences: A040537 A040538 A040539 * A040541 A040542 A040543

KEYWORD

nonn,cofr,easy,less,mult

AUTHOR

N. J. A. Sloane

STATUS

approved

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