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%I #20 Jan 17 2024 01:33:28
%S 29,1,2,1,2,1,2,1,58,1,2,1,2,1,2,1,58,1,2,1,2,1,2,1,58,1,2,1,2,1,2,1,
%T 58,1,2,1,2,1,2,1,58,1,2,1,2,1,2,1,58,1,2,1,2,1,2,1,58,1,2,1,2,1,2,1,
%U 58,1,2,1,2,1,2,1,58,1,2,1,2,1,2,1,58,1,2,1,2,1,2,1
%N Continued fraction for sqrt(884).
%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>.
%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,1).
%F From _Amiram Eldar_, Jan 16 2024: (Start)
%F Multiplicative with a(2) = a(4) = 2, a(2^e) = 58 for e >=3, and a(p^e) = 1 for an odd prime p.
%F Dirichlet g.f.: zeta(s) * (1 + 1/2^s + 7/2^(3*s-3)). (End)
%p with(numtheory): Digits := 300: convert(evalf(sqrt(884)),confrac);
%t ContinuedFraction[Sqrt[884],120] (* or *) PadRight[{29},120,{58,1,2,1,2,1,2,1}] (* _Harvey P. Dale_, Dec 15 2023 *)
%K nonn,cofr,easy,mult
%O 0,1
%A _N. J. A. Sloane_