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A040868 Continued fraction for sqrt(898). 2

%I #18 Jan 17 2024 01:37:03

%S 29,1,28,1,58,1,28,1,58,1,28,1,58,1,28,1,58,1,28,1,58,1,28,1,58,1,28,

%T 1,58,1,28,1,58,1,28,1,58,1,28,1,58,1,28,1,58,1,28,1,58,1,28,1,58,1,

%U 28,1,58,1,28,1,58,1,28,1,58,1,28,1,58,1,28,1,58,1,28

%N Continued fraction for sqrt(898).

%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_, Jan 17 2024: (Start)

%F Multiplicative with a(2) = 28, a(2^e) = 58 for e >= 2, and a(p^e) = 1 for an odd prime p.

%F Dirichlet g.f.: zeta(s) * (1 + 27/2^s + 15/2^(2*s-1)). (End)

%p with(numtheory): Digits := 300: convert(evalf(sqrt(898)),confrac);

%t ContinuedFraction[Sqrt[898], 100] (* _Amiram Eldar_, Jan 17 2024 *)

%K nonn,cofr,easy,mult

%O 0,1

%A _N. J. A. Sloane_

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Last modified April 23 18:16 EDT 2024. Contains 371916 sequences. (Running on oeis4.)