%I #17 Nov 29 2023 05:20:21
%S 14,1,13,1,28,1,13,1,28,1,13,1,28,1,13,1,28,1,13,1,28,1,13,1,28,1,13,
%T 1,28,1,13,1,28,1,13,1,28,1,13,1,28,1,13,1,28,1,13,1,28,1,13,1,28,1,
%U 13,1,28,1,13,1,28,1,13,1,28,1,13,1,28,1,13,1,28,1,13
%N Continued fraction for sqrt(223).
%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_, Nov 29 2023: (Start)
%F Multiplicative with a(2) = 13, a(2^e) = 28 for e >= 2, and a(p^e) = 1 for an odd prime p.
%F Dirichlet g.f.: zeta(s) * (1 + 3/2^(s-2) + 15/4^s). (End)
%p with(numtheory): Digits := 300: convert(evalf(sqrt(223)),confrac);
%t ContinuedFraction[Sqrt[223], 100] (* _Amiram Eldar_, Nov 29 2023 *)
%K nonn,cofr,easy,mult
%O 0,1
%A _N. J. A. Sloane_