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Continued fraction for sqrt(960).
1

%I #23 Jan 17 2024 01:38:05

%S 30,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,

%T 1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,

%U 60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60,1,60

%N Continued fraction for sqrt(960).

%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 17 2024: (Start)

%F Multiplicative with a(2^e) = 60, and a(p^e) = 1 for an odd prime p.

%F Dirichlet g.f.: zeta(s) * (1 + 59/2^s). (End)

%p with(numtheory): Digits := 300: convert(evalf(sqrt(960)),confrac);

%t ContinuedFraction[Sqrt[960], 100] (* _Amiram Eldar_, Jan 17 2024 *)

%K nonn,cofr,mult,easy

%O 0,1

%A _N. J. A. Sloane_