%I #18 Dec 10 2023 01:51:09
%S 16,1,3,1,4,1,3,1,32,1,3,1,4,1,3,1,32,1,3,1,4,1,3,1,32,1,3,1,4,1,3,1,
%T 32,1,3,1,4,1,3,1,32,1,3,1,4,1,3,1,32,1,3,1,4,1,3,1,32,1,3,1,4,1,3,1,
%U 32,1,3,1,4,1,3,1,32,1,3,1,4,1,3,1,32,1,3,1,4,1,3,1
%N Continued fraction for sqrt(282).
%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_, Dec 09 2023: (Start)
%F Multiplicative with a(2) = 3, a(4) = 4, a(2^e) = 32 for e >= 3, and a(p^e) = 1 for an odd prime p.
%F Dirichlet g.f.: zeta(s) * (1 + 1/2^(s-1) + 1/2^(2*s) + 7/2^(3*s-2)). (End)
%p with(numtheory): Digits := 300: convert(evalf(sqrt(282)),confrac);
%t ContinuedFraction[Sqrt[282], 100] (* _Amiram Eldar_, Dec 09 2023 *)
%K nonn,cofr,easy,mult
%O 0,1
%A _N. J. A. Sloane_
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