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A040433 Continued fraction for sqrt(455). 1

%I

%S 21,3,42,3,42,3,42,3,42,3,42,3,42,3,42,3,42,3,42,3,42,3,42,3,42,3,42,

%T 3,42,3,42,3,42,3,42,3,42,3,42,3,42,3,42,3,42,3,42,3,42,3,42,3,42,3,

%U 42,3,42,3,42,3,42,3,42,3,42,3,42,3,42,3,42,3,42,3,42

%N Continued fraction for sqrt(455).

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

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (0, 1).

%F a(n)=(1/2)*[45+39*(-1)^n]-21*[C(2*n,n) mod 2], with n>=0 [From _Paolo P. Lava_, Apr 30 2009]

%p with(numtheory): Digits := 300: convert(evalf(sqrt(455)),confrac);

%t ContinuedFraction[Sqrt[455],100] (* or *) PadRight[{21},100,{42,3}] (* _Harvey P. Dale_, Nov 03 2015 *)

%K nonn,cofr,easy,less

%O 0,1

%A _N. J. A. Sloane_.

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Last modified August 20 22:45 EDT 2019. Contains 326155 sequences. (Running on oeis4.)