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A040367 Continued fraction for sqrt(387). 1

%I #17 Dec 20 2023 08:06:11

%S 19,1,2,19,2,1,38,1,2,19,2,1,38,1,2,19,2,1,38,1,2,19,2,1,38,1,2,19,2,

%T 1,38,1,2,19,2,1,38,1,2,19,2,1,38,1,2,19,2,1,38,1,2,19,2,1,38,1,2,19,

%U 2,1,38,1,2,19,2,1,38,1,2,19,2,1,38,1,2,19,2,1,38,1,2

%N Continued fraction for sqrt(387).

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

%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,1).

%F From _Amiram Eldar_, Dec 20 2023: (Start)

%F Multiplicative with a(2^e) = 2, a(3^e) = 19, and a(p^e) = 1 for p >= 5.

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

%p with(numtheory): Digits := 300: convert(evalf(sqrt(387)),confrac);

%t ContinuedFraction[Sqrt[387], 100] (* _Amiram Eldar_, Dec 20 2023 *)

%K nonn,cofr,easy,mult

%O 0,1

%A _N. J. A. Sloane_

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Last modified April 27 04:12 EDT 2024. Contains 372009 sequences. (Running on oeis4.)