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Continued fraction for sqrt(675).
2

%I #20 Jan 03 2024 02:58:29

%S 25,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,

%T 1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,

%U 50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50,1,50

%N Continued fraction for sqrt(675).

%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_, Jan 03 2024: (Start)

%F Multiplicative with a(2^e) = 50, and a(p^e) = 1 for an odd prime p.

%F Dirichlet g.f.: zeta(s) * (1 + 49/2^s). (End)

%p with(numtheory): Digits := 300: convert(evalf(sqrt(675)),confrac);

%t ContinuedFraction[Sqrt[675],100] (* or *) PadRight[{25},120,{50,1}] (* _Harvey P. Dale_, Dec 13 2016 *)

%K nonn,cofr,easy,mult

%O 0,1

%A _N. J. A. Sloane_