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A040419 Continued fraction for sqrt(440). 1

%I #19 Dec 26 2023 06:39:12

%S 20,1,40,1,40,1,40,1,40,1,40,1,40,1,40,1,40,1,40,1,40,1,40,1,40,1,40,

%T 1,40,1,40,1,40,1,40,1,40,1,40,1,40,1,40,1,40,1,40,1,40,1,40,1,40,1,

%U 40,1,40,1,40,1,40,1,40,1,40,1,40,1,40,1,40,1,40,1,40

%N Continued fraction for sqrt(440).

%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 From _Amiram Eldar_, Dec 26 2023: (Start)

%F Multiplicative with a(2^e) = 40, and a(p^e) = 1 for an odd prime p.

%F Dirichlet g.f.: zeta(s) * (1 + 39/2^s). (End)

%p with(numtheory): Digits := 300: convert(evalf(sqrt(440)),confrac);

%t ContinuedFraction[Sqrt[440],100] (* or *) PadRight[{20},100,{40,1}] (* _Harvey P. Dale_, Apr 13 2012 *)

%K nonn,cofr,easy,mult

%O 0,1

%A _N. J. A. Sloane_

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)