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%I #18 Dec 10 2023 01:50:58
%S 17,1,1,1,34,1,1,1,34,1,1,1,34,1,1,1,34,1,1,1,34,1,1,1,34,1,1,1,34,1,
%T 1,1,34,1,1,1,34,1,1,1,34,1,1,1,34,1,1,1,34,1,1,1,34,1,1,1,34,1,1,1,
%U 34,1,1,1,34,1,1,1,34,1,1,1,34,1,1,1,34,1,1,1,34,1,1,1
%N Continued fraction for sqrt(312).
%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 10 2023: (Start)
%F Multiplicative with a(2) = 1, a(2^e) = 34 for e >= 2, and a(p^e) = 1 for an odd prime p.
%F Dirichlet g.f.: zeta(s) * (1 + 33/4^s). (End)
%p with(numtheory): Digits := 300: convert(evalf(sqrt(312)),confrac);
%t ContinuedFraction[Sqrt[312],100] (* or *) PadRight[{17},100,{34,1,1,1}] (* _Harvey P. Dale_, Apr 20 2022 *)
%K nonn,cofr,easy,mult
%O 0,1
%A _N. J. A. Sloane_
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