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%I #20 Jan 10 2024 00:27:40
%S 27,1,12,1,54,1,12,1,54,1,12,1,54,1,12,1,54,1,12,1,54,1,12,1,54,1,12,
%T 1,54,1,12,1,54,1,12,1,54,1,12,1,54,1,12,1,54,1,12,1,54,1,12,1,54,1,
%U 12,1,54,1,12,1,54,1,12,1,54,1,12,1,54,1,12,1,54,1,12
%N Continued fraction for sqrt(780).
%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_, Jan 10 2024: (Start)
%F Multiplicative with a(2) = 12, a(2^e) = 54 for e >= 2, and a(p^e) = 1 for an odd prime p.
%F Dirichlet g.f.: zeta(s) * (1 + 11/2^s + 21/2^(2*s-1)). (End)
%p with(numtheory): Digits := 300: convert(evalf(sqrt(780)),confrac);
%t ContinuedFraction[Sqrt[780],120] (* or *) PadRight[{27},120,{54,1,12,1}] (* _Harvey P. Dale_, Apr 23 2016 *)
%K nonn,cofr,easy,mult
%O 0,1
%A _N. J. A. Sloane_
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