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A040274 Continued fraction for sqrt(292). 2

%I

%S 17,11,2,1,3,8,3,1,2,11,34,11,2,1,3,8,3,1,2,11,34,11,2,1,3,8,3,1,2,11,

%T 34,11,2,1,3,8,3,1,2,11,34,11,2,1,3,8,3,1,2,11,34,11,2,1,3,8,3,1,2,11,

%U 34,11,2,1,3,8,3,1,2,11,34,11,2,1,3,8,3,1,2,11,34

%N Continued fraction for sqrt(292).

%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)*{-959*(n mod 10)-329*[(n+1) mod 10]+31*[(n+2) mod 10]+166*[(n+3) mod 10]+301*[(n+4) mod 10]-149*[(n+5) mod 10]-14*[(n+6) mod 10]+121*[(n+7) mod 10]+481*[(n+8) mod 10]+1111*[(n+9) mod 10]}-17*[C(2*n,n) mod 2], with n>=0 [From _Paolo P. Lava_, Apr 24 2009]

%p with(numtheory): Digits := 300: convert(evalf(sqrt(292)),confrac);

%t ContinuedFraction[Sqrt[292],120] (* or *) PadRight[{17},120,{34,11,2,1,3,8,3,1,2,11}] (* _Harvey P. Dale_, Feb 27 2017 *)

%K nonn,cofr,easy

%O 0,1

%A _N. J. A. Sloane_.

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Last modified January 29 15:25 EST 2023. Contains 359923 sequences. (Running on oeis4.)