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Continued fraction for sqrt(574).
1

%I #16 Dec 27 2023 00:47:32

%S 23,1,22,1,46,1,22,1,46,1,22,1,46,1,22,1,46,1,22,1,46,1,22,1,46,1,22,

%T 1,46,1,22,1,46,1,22,1,46,1,22,1,46,1,22,1,46,1,22,1,46,1,22,1,46,1,

%U 22,1,46,1,22,1,46,1,22,1,46,1,22,1,46,1,22,1,46,1,22

%N Continued fraction for sqrt(574).

%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_, Dec 27 2023: (Start)

%F Multiplicative with a(2) = 22, a(2^e) = 46 for e >= 2, and a(p^e) = 1 for an odd prime p.

%F Dirichlet g.f.: zeta(s) * (1 + 21/2^s + 3/2^(2*s-3)). (End)

%p with(numtheory): Digits := 300: convert(evalf(sqrt(574)),confrac);

%t ContinuedFraction[Sqrt[574], 100] (* _Amiram Eldar_, Dec 27 2023 *)

%K nonn,cofr,easy,less,mult

%O 0,1

%A _N. J. A. Sloane_