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%I A010209 #27 Nov 22 2023 08:31:43
%S A010209 12,1,1,1,5,1,1,1,24,1,1,1,5,1,1,1,24,1,1,1,5,1,1,1,24,1,1,1,5,1,1,1,
%T A010209 24,1,1,1,5,1,1,1,24,1,1,1,5,1,1,1,24,1,1,1,5,1,1,1,24,1,1,1,5,1,1,1,
%U A010209 24,1,1,1,5,1,1,1,24,1,1,1,5
%N A010209 Continued fraction for sqrt(160).
%H A010209 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a>.
%H A010209 <a href="/index/Con#confC">Index entries for continued fractions for constants</a>.
%H A010209 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,1).
%F A010209 From _Amiram Eldar_, Nov 22 2023: (Start)
%F A010209 Multiplicative with a(2) = 1, a(4) = 5, a(2^e) = 24 for e >= 3, and a(p^e) = 1 for an odd prime p.
%F A010209 Dirichlet g.f.: zeta(s) * (1 + 1/4^(s-1) + 19/8^s). (End)
%p A010209 Digits := 100: convert(evalf(sqrt(N)),confrac,90,'cvgts'):
%t A010209 ContinuedFraction[Sqrt[160],300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 23 2011 *)
%K A010209 nonn,cofr,easy,mult
%O A010209 0,1
%A A010209 _N. J. A. Sloane_

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