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A040568 Continued fraction for sqrt(593). 0

%I

%S 24,2,1,5,2,2,1,1,2,2,5,1,2,48,2,1,5,2,2,1,1,2,2,5,1,2,48,2,1,5,2,2,1,

%T 1,2,2,5,1,2,48,2,1,5,2,2,1,1,2,2,5,1,2,48,2,1,5,2,2,1,1,2,2,5,1,2,48,

%U 2,1,5,2,2,1,1,2,2,5,1,2,48,2,1,5,2,2,1,1,2,2,5,1

%N Continued fraction for sqrt(593).

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

%H <a href="/index/Rec#order_13">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

%F a(n)=(1/507)*{-1757*(n mod 13)-2*[(n+1) mod 13]+193*[(n+2) mod 13]-80*[(n+3) mod 13]+37*[(n+4) mod 13]-2*[(n+5) mod 13]+37*[(n+6) mod 13]+76*[(n+7) mod 13]+37*[(n+8) mod 13]+154*[(n+9) mod 13]-119*[(n+10) mod 13]+76*[(n+11) mod 13]1831*[(n+12) mod 13]}-24*[C(2*n,n) mod 2], with n>=0 [From _Paolo P. Lava_, May 15 2009]

%p with(numtheory): Digits := 300: convert(evalf(sqrt(593)),confrac);

%t ContinuedFraction[Sqrt[593],120] (* or *) PadRight[{24},120,{48,2,1,5,2,2,1,1,2,2,5,1,2}] (* _Harvey P. Dale_, Dec 16 2018 *)

%K nonn,cofr,easy,less

%O 0,1

%A _N. J. A. Sloane_.

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Last modified October 25 05:19 EDT 2021. Contains 348239 sequences. (Running on oeis4.)