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A040151 Continued fraction for sqrt(164). 1

%I #22 Nov 22 2023 08:31:11

%S 12,1,4,6,4,1,24,1,4,6,4,1,24,1,4,6,4,1,24,1,4,6,4,1,24,1,4,6,4,1,24,

%T 1,4,6,4,1,24,1,4,6,4,1,24,1,4,6,4,1,24,1,4,6,4,1,24,1,4,6,4,1,24,1,4,

%U 6,4,1,24,1,4,6,4,1,24,1,4

%N Continued fraction for sqrt(164).

%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_, Nov 22 2023: (Start)

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

%F Dirichlet g.f.: zeta(s) * (1 + 3/2^s) * (1 + 5/3^s). (End)

%p Digits := 100: convert(evalf(sqrt(N)),confrac,90,'cvgts'):

%t ContinuedFraction[Sqrt[164],300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 25 2011 *)

%K nonn,cofr,easy,mult

%O 0,1

%A _N. J. A. Sloane_

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Last modified April 25 13:02 EDT 2024. Contains 371969 sequences. (Running on oeis4.)