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A040619 Continued fraction for sqrt(645). 2

%I

%S 25,2,1,1,12,10,12,1,1,2,50,2,1,1,12,10,12,1,1,2,50,2,1,1,12,10,12,1,

%T 1,2,50,2,1,1,12,10,12,1,1,2,50,2,1,1,12,10,12,1,1,2,50,2,1,1,12,10,

%U 12,1,1,2,50,2,1,1,12,10,12,1,1,2,50,2,1,1,12,10,12,1

%N Continued fraction for sqrt(645).

%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)*{-2068*(n mod 10)+47*[(n+1) mod 10]+92*[(n+2) mod 10]+587*[(n+3) mod 10]+2*[(n+4) mod 10]+182*[(n+5) mod 10]-403*[(n+6) mod 10]+92*[(n+7) mod 10]+137*[(n+8) mod 10]+2252*[(n+9) mod 10]}-25*[C(2*n,n) mod 2], with n>=0 [From _Paolo P. Lava_, May 15 2009]

%p with(numtheory): Digits := 300: convert(evalf(sqrt(645)),confrac);

%t ContinuedFraction[Sqrt[645],120] (* or *) PadRight[{25},120,{50,2,1,1,12,10,12,1,1,2}] (* _Harvey P. Dale_, Apr 23 2014 *)

%K nonn,cofr,easy

%O 0,1

%A _N. J. A. Sloane_.

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Last modified May 27 22:39 EDT 2022. Contains 354110 sequences. (Running on oeis4.)