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Continued fraction for sqrt(399).
1

%I #16 Dec 20 2023 08:05:46

%S 19,1,38,1,38,1,38,1,38,1,38,1,38,1,38,1,38,1,38,1,38,1,38,1,38,1,38,

%T 1,38,1,38,1,38,1,38,1,38,1,38,1,38,1,38,1,38,1,38,1,38,1,38,1,38,1,

%U 38,1,38,1,38,1,38,1,38,1,38,1,38,1,38,1,38,1,38,1,38

%N Continued fraction for sqrt(399).

%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>.

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (0,1).

%F From _Amiram Eldar_, Dec 20 2023: (Start)

%F Multiplicative with a(2^e) = 38, and a(p^e) = 1 for an odd prime p.

%F Dirichlet g.f.: zeta(s) * (1 + 37/2^s). (End)

%p with(numtheory): Digits := 300: convert(evalf(sqrt(399)),confrac);

%t ContinuedFraction[Sqrt[399], 100] (* _Amiram Eldar_, Dec 20 2023 *)

%K nonn,cofr,easy,mult

%O 0,1

%A _N. J. A. Sloane_