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%I #19 Dec 27 2023 00:47:11
%S 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,
%T 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,
%U 46,1,2,1,46,1,2,1,46,1,2,1,46,1,2,1,46,1,2,1,46,1,2,1
%N Continued fraction for sqrt(564).
%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>.
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,1).
%F From _Amiram Eldar_, Dec 27 2023: (Start)
%F Multiplicative with a(2) = 2, a(2^e) = 46 for e >= 2, and a(p^e) = 1 for an odd prime p.
%F Dirichlet g.f.: zeta(s) * (1 + 1/2^s + 11/2^(2*s-2)). (End)
%p with(numtheory): Digits := 300: convert(evalf(sqrt(564)),confrac);
%t ContinuedFraction[Sqrt[564],90] (* _Harvey P. Dale_, Oct 26 2011 *)
%K nonn,cofr,easy,less,mult
%O 0,1
%A _N. J. A. Sloane_
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