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A040569 Continued fraction for sqrt(594). 2


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

%T 2,1,2,5,24,5,2,1,2,48,2,1,2,5,24,5,2,1,2,48,2,1,2,5,24,5,2,1,2,48,2,

%U 1,2,5,24,5,2,1,2,48,2,1,2,5,24,5,2,1,2,48,2,1,2,5

%N Continued fraction for sqrt(594).

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

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

%F a(n)=(1/450)*{-1978*(n mod 10)+47*[(n+1) mod 10]+137*[(n+2) mod 10]+227*[(n+3) mod 10]+947*[(n+4) mod 10]-763*[(n+5) mod 10]-43*[(n+6) mod 10]+47*[(n+7) mod 10]+137*[(n+8) mod 10]+2162*[(n+9) mod 10]}-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(594)),confrac);

%t ContinuedFraction[Sqrt[594],100] (* or *) PadRight[{24},100,{48,2,1,2,5,24,5,2,1,2}] (* _Harvey P. Dale_, Sep 27 2019 *)

%K nonn,cofr,easy,less

%O 0,1

%A _N. J. A. Sloane_.

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Last modified December 4 04:49 EST 2021. Contains 349469 sequences. (Running on oeis4.)