A040921 - OEIS

%I #20 Jan 17 2024 01:38:23

%S 30,1,5,1,6,1,5,1,60,1,5,1,6,1,5,1,60,1,5,1,6,1,5,1,60,1,5,1,6,1,5,1,

%T 60,1,5,1,6,1,5,1,60,1,5,1,6,1,5,1,60,1,5,1,6,1,5,1,60,1,5,1,6,1,5,1,

%U 60,1,5,1,6,1,5,1,60,1,5,1,6,1,5,1,60,1,5,1,6,1,5,1

%N Continued fraction for sqrt(952).

%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>.

%H <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 From _Amiram Eldar_, Jan 17 2024: (Start)

%F Multiplicative with a(2) = 5, a(4) = 6, a(2^e) = 60 for e >=3, and a(p^e) = 1 for an odd prime p.

%F Dirichlet g.f.: zeta(s) * (1 + 1/2^(s-2) + 1/2^(2*s) + 27/2^(3*s-1)). (End)

%p with(numtheory): Digits := 300: convert(evalf(sqrt(952)),confrac);

%t ContinuedFraction[Sqrt[952], 100] (* _Amiram Eldar_, Jan 17 2024 *)

%K nonn,cofr,mult,easy

%O 0,1

%A _N. J. A. Sloane_