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A040222 Continued fraction for sqrt(238). 2

%I

%S 15,2,2,1,14,1,2,2,30,2,2,1,14,1,2,2,30,2,2,1,14,1,2,2,30,2,2,1,14,1,

%T 2,2,30,2,2,1,14,1,2,2,30,2,2,1,14,1,2,2,30,2,2,1,14,1,2,2,30,2,2,1,

%U 14,1,2,2,30,2,2,1,14,1,2,2,30,2,2,1,14,1,2,2,30,2,2,1

%N Continued fraction for sqrt(238).

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

%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 1).

%F a(n)=(1/112)*{-365*(n mod 8)+27*[(n+1) mod 8]+13*[(n+2) mod 8]+209*[(n+3) mod 8]-155*[(n+4) mod 8]+41*[(n+5) mod 8]+27*[(n+6) mod 8]+419*[(n+7) mod 8]}-15*[C(2*n,n) mod 2], with n>=0 [From _Paolo P. Lava_, Apr 23 2009]

%p with(numtheory): Digits := 300: convert(evalf(sqrt(238)),confrac);

%t ContinuedFraction[Sqrt[238],100] (* _Harvey P. Dale_, May 02 2011 *)

%K nonn,cofr,easy

%O 0,1

%A _N. J. A. Sloane_.

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Last modified October 24 05:38 EDT 2021. Contains 348217 sequences. (Running on oeis4.)