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A040604 Continued fraction for sqrt(630). 1

%I #21 Dec 27 2023 01:33:19

%S 25,10,50,10,50,10,50,10,50,10,50,10,50,10,50,10,50,10,50,10,50,10,50,

%T 10,50,10,50,10,50,10,50,10,50,10,50,10,50,10,50,10,50,10,50,10,50,10,

%U 50,10,50,10,50,10,50,10,50,10,50,10,50,10,50,10,50

%N Continued fraction for sqrt(630).

%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 G.f.: 5*(5 + 2*x + 5*x^2)/(1 - x^2). - _Stefano Spezia_, Dec 22 2021

%F a(n) = 5 * A040024(n). - _Alois P. Heinz_, Dec 22 2021

%p with(numtheory): Digits := 300: convert(evalf(sqrt(630)),confrac);

%t Block[{$MaxExtraPrecision=1000}, ContinuedFraction[Sqrt[630],100]] (* or *) PadRight[{25},100,{50,10}] (* _Harvey P. Dale_, May 20 2018 *)

%Y Cf. A040024.

%K nonn,cofr,easy

%O 0,1

%A _N. J. A. Sloane_.

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)