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Continued fraction for sqrt(624).
1

%I #21 Jan 03 2024 03:00:07

%S 24,1,48,1,48,1,48,1,48,1,48,1,48,1,48,1,48,1,48,1,48,1,48,1,48,1,48,

%T 1,48,1,48,1,48,1,48,1,48,1,48,1,48,1,48,1,48,1,48,1,48,1,48,1,48,1,

%U 48,1,48,1,48,1,48,1,48,1,48,1,48,1,48,1,48,1,48,1,48

%N Continued fraction for sqrt(624).

%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) = 48, and a(p^e) = 1 for an odd prime p.

%F Dirichlet g.f.: zeta(s) * (1 + 47/2^s). (End)

%p with(numtheory): Digits := 300: convert(evalf(sqrt(624)),confrac);

%t ContinuedFraction[Sqrt[624],120] (* or *) PadRight[{24},120,{48,1}] (* _Harvey P. Dale_, Sep 30 2016 *)

%K nonn,cofr,easy,mult,less

%O 0,1

%A _N. J. A. Sloane_