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A040458 Continued fraction for sqrt(480). 0

%I

%S 21,1,9,1,42,1,9,1,42,1,9,1,42,1,9,1,42,1,9,1,42,1,9,1,42,1,9,1,42,1,

%T 9,1,42,1,9,1,42,1,9,1,42,1,9,1,42,1,9,1,42,1,9,1,42,1,9,1,42,1,9,1,

%U 42,1,9,1,42,1,9,1,42,1,9,1,42,1,9,1,42,1,9,1,42,1,9,1

%N Continued fraction for sqrt(480).

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

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 1).

%F a(n)=(1/24)*{-193*(n mod 4)+101*[(n+1) mod 4]+5*[(n+2) mod 4]+299*[(n+3) mod 4]}-21*[C(2*n,n) mod 2], with n>=0 [From _Paolo P. Lava_, May 13 2009]

%p with(numtheory): Digits := 300: convert(evalf(sqrt(480)),confrac);

%t ContinuedFraction[Sqrt[480],100] (* or *) PadRight[{21},100,{42,1,9,1}] (* _Harvey P. Dale_, Nov 17 2014 *)

%K nonn,cofr,easy,less

%O 0,1

%A _N. J. A. Sloane_.

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Last modified May 26 17:16 EDT 2022. Contains 354092 sequences. (Running on oeis4.)