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A040474 Continued fraction for sqrt(497). 2

%I

%S 22,3,2,2,5,6,5,2,2,3,44,3,2,2,5,6,5,2,2,3,44,3,2,2,5,6,5,2,2,3,44,3,

%T 2,2,5,6,5,2,2,3,44,3,2,2,5,6,5,2,2,3,44,3,2,2,5,6,5,2,2,3,44,3,2,2,5,

%U 6,5,2,2,3,44,3,2,2,5,6,5,2,2,3,44,3,2,2,5,6,5,2,2,3

%N Continued fraction for sqrt(497).

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

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

%F a(n)=(1/450)*{-1771*(n mod 10)+29*[(n+1) mod 10]+74*[(n+2) mod 10]+209*[(n+3) mod 10]+119*[(n+4) mod 10]+29*[(n+5) mod 10]-61*[(n+6) mod 10]+74*[(n+7) mod 10]+119*[(n+8) mod 10]+1919*[(n+9) mod 10]}-22*[C(2*n,n) mod 2], with n>=0 [From _Paolo P. Lava_, May 13 2009]

%p with(numtheory): Digits := 300: convert(evalf(sqrt(497)),confrac);

%t ContinuedFraction[Sqrt[497],100] (* _Harvey P. Dale_, Jan 13 2012 *)

%K nonn,cofr,easy,less

%O 0,1

%A _N. J. A. Sloane_.

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Last modified September 27 13:17 EDT 2021. Contains 347688 sequences. (Running on oeis4.)