%I #17 Nov 29 2023 05:20:07
%S 15,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,
%T 6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,
%U 30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1,30,1,6,1
%N Continued fraction for sqrt(252).
%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>.
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,1).
%F From _Amiram Eldar_, Nov 29 2023: (Start)
%F Multiplicative with a(2) = 6, a(2^e) = 30 for e >= 2, and a(p^e) = 1 for an odd prime p.
%F Dirichlet g.f.: zeta(s) * (1 + 5/2^s + 3/2^(2*s-3)). (End)
%p with(numtheory): Digits := 300: convert(evalf(sqrt(252)),confrac);
%t ContinuedFraction[Sqrt[252], 100] (* _Amiram Eldar_, Nov 29 2023 *)
%K nonn,cofr,easy,mult
%O 0,1
%A _N. J. A. Sloane_
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