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%I #22 Dec 20 2023 08:06:16
%S 18,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,
%T 1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,
%U 36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36,1,36
%N Continued fraction for sqrt(360).
%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 a(n) = a(n-2), for n >= 3. - _Wesley Ivan Hurt_, Apr 16 2023
%F From _Amiram Eldar_, Dec 20 2023: (Start)
%F Multiplicative with a(2^e) = 36, and a(p^e) = 1 for an odd prime p.
%F Dirichlet g.f.: zeta(s) * (1 + 35/2^s). (End)
%p with(numtheory): Digits := 300: convert(evalf(sqrt(360)),confrac);
%t ContinuedFraction[Sqrt[360],120] (* or *) PadRight[{18},120,{36,1}] (* _Harvey P. Dale_, Jul 04 2021 *)
%K nonn,cofr,easy,mult
%O 0,1
%A _N. J. A. Sloane_
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