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A040231 Continued fraction for sqrt(247). 0

%I

%S 15,1,2,1,1,9,1,9,1,1,2,1,30,1,2,1,1,9,1,9,1,1,2,1,30,1,2,1,1,9,1,9,1,

%T 1,2,1,30,1,2,1,1,9,1,9,1,1,2,1,30,1,2,1,1,9,1,9,1,1,2,1,30,1,2,1,1,9,

%U 1,9,1,1,2,1,30,1,2,1,1,9,1,9,1,1,2,1,30,1,2,1,1,9

%N Continued fraction for sqrt(247).

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

%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

%F a(n)=(1/792)*{-1855*(n mod 12)+125*[(n+1) mod 12]-7*[(n+2) mod 12]+59*[(n+3) mod 12]+587*[(n+4) mod 12]-469*[(n+5) mod 12]+587*[(n+6) mod 12]-469*[(n+7) mod 12]+59*[(n+8) mod 12]+125*[(n+9) mod 12]-7*[(n+10) mod 12]+1973*[(n+11) mod 12]}-15*[C(2*n,n) mod 2], with n>=0 [From _Paolo P. Lava_, Apr 22 2009]

%p with(numtheory): Digits := 300: convert(evalf(sqrt(247)),confrac);

%t ContinuedFraction[Sqrt[247],100] (* or *) PadRight[{15},100,{30,1,2,1,1,9,1,9,1,1,2,1}] (* _Harvey P. Dale_, Feb 25 2016 *)

%K nonn,cofr,easy

%O 0,1

%A _N. J. A. Sloane_.

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Last modified November 13 17:34 EST 2019. Contains 329106 sequences. (Running on oeis4.)