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A040327 Continued fraction for sqrt(346). 1

%I

%S 18,1,1,1,1,36,1,1,1,1,36,1,1,1,1,36,1,1,1,1,36,1,1,1,1,36,1,1,1,1,36,

%T 1,1,1,1,36,1,1,1,1,36,1,1,1,1,36,1,1,1,1,36,1,1,1,1,36,1,1,1,1,36,1,

%U 1,1,1,36,1,1,1,1,36,1,1,1,1,36,1,1,1,1,36,1,1,1,1

%N Continued fraction for sqrt(346).

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

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 1).

%F a(n)=(1/5)*{-31*(n mod 5)+4*[(n+1) mod 5]+4*[(n+2) mod 5]+4*[(n+3) mod 5]+39*[(n+4) mod 5]}-18*[C(2*n,n) mod 2], with n>=0 [From _Paolo P. Lava_, Apr 27 2009]

%p with(numtheory): Digits := 300: convert(evalf(sqrt(346)),confrac);

%t ContinuedFraction[Sqrt[346],120] (* or *) PadRight[{18},120,{36,1,1,1,1}] (* _Harvey P. Dale_, Apr 24 2016 *)

%K nonn,cofr,easy

%O 0,1

%A _N. J. A. Sloane_.

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Last modified November 17 05:27 EST 2019. Contains 329217 sequences. (Running on oeis4.)