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Continued fraction for sqrt(575).
1

%I #18 Dec 27 2023 00:47:34

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

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

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

%N Continued fraction for sqrt(575).

%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 27 2023: (Start)

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

%F Dirichlet g.f.: zeta(s) * (1 + 45/2^s). (End)

%p with(numtheory): Digits := 300: convert(evalf(sqrt(575)),confrac);

%t ContinuedFraction[Sqrt[575],100] (* or *) PadRight[{23},100,{46,1}] (* _Harvey P. Dale_, Aug 12 2023 *)

%K nonn,cofr,easy,less,mult

%O 0,1

%A _N. J. A. Sloane_