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 A040223 Continued fraction for sqrt(239). 0

%I

%S 15,2,5,1,2,4,15,4,2,1,5,2,30,2,5,1,2,4,15,4,2,1,5,2,30,2,5,1,2,4,15,

%T 4,2,1,5,2,30,2,5,1,2,4,15,4,2,1,5,2,30,2,5,1,2,4,15,4,2,1,5,2,30,2,5,

%U 1,2,4,15,4,2,1,5,2,30,2,5,1,2,4,15,4,2,1,5,2,30,2,5

%N Continued fraction for sqrt(239).

%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)*{-1775*(n mod 12)+271*[(n+1) mod 12]-191*[(n+2) mod 12]+139*[(n+3) mod 12]+205*[(n+4) mod 12]+799*[(n+5) mod 12]-653*[(n+6) mod 12]-59*[(n+7) mod 12]+7*[(n+8) mod 12]+337*[(n+9) mod 12]-125*[(n+10) mod 12]+1921*[(n+11) mod 12]}-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(239)),confrac);

%t ContinuedFraction[Sqrt[239],90] (* _Harvey P. Dale_, Oct 31 2011 *)

%K nonn,cofr,easy

%O 0,1

%A _N. J. A. Sloane_.

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Last modified November 27 03:56 EST 2021. Contains 349345 sequences. (Running on oeis4.)