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Continued fraction for sqrt(143).
0

%I #20 Nov 22 2023 08:31:15

%S 11,1,22,1,22,1,22,1,22,1,22,1,22,1,22,1,22,1,22,1,22,1,22,1,22,1,22,

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

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

%N Continued fraction for sqrt(143).

%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_, Nov 22 2023: (Start)

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

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

%p Digits := 100: convert(evalf(sqrt(N)),confrac,90,'cvgts'):

%t ContinuedFraction[Sqrt[143],300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 13 2011*)

%K nonn,cofr,easy,mult

%O 0,1

%A _N. J. A. Sloane_