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A040928 Continued fraction for sqrt(959). 1

%I #27 Jan 17 2024 01:38:39

%S 30,1,29,1,60,1,29,1,60,1,29,1,60,1,29,1,60,1,29,1,60,1,29,1,60,1,29,

%T 1,60,1,29,1,60,1,29,1,60,1,29,1,60,1,29,1,60,1,29,1,60,1,29,1,60,1,

%U 29,1,60,1,29,1,60,1,29,1,60,1,29,1,60,1,29,1,60,1,29

%N Continued fraction for sqrt(959).

%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 a(n) = a(n-4) for n >= 5. - _Wesley Ivan Hurt_, Sep 03 2022

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

%F Multiplicative with a(2) = 29, a(2^e) = 60 for e >= 2, and a(p^e) = 1 for an odd prime p.

%F Dirichlet g.f.: zeta(s) * (1 + 7/2^(s-2) + 31/2^(2*s)). (End)

%p with(numtheory): Digits := 300: convert(evalf(sqrt(959)),confrac);

%t ContinuedFraction[Sqrt[959],80] (* or *) PadRight[{30},80,{60,1,29,1}] (* _Harvey P. Dale_, May 03 2013 *)

%K nonn,cofr,mult,easy

%O 0,1

%A _N. J. A. Sloane_

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Last modified April 24 13:38 EDT 2024. Contains 371957 sequences. (Running on oeis4.)