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%I #19 Feb 15 2024 17:28:22
%S 23,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,
%T 46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,
%U 46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46
%N Continued fraction for sqrt(530).
%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>
%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1).
%F From _Elmo R. Oliveira_, Feb 15 2024: (Start)
%F a(n) = 46 for n >= 1.
%F G.f.: 23*(1+x)/(1-x).
%F E.g.f.: 46*exp(x) - 23.
%F a(n) = 23*A040000(n). (End)
%e 23 + 1/(46 + 1/(46 + 1/(46 + 1/(46 + ...)))) = sqrt(530).
%p with(numtheory): Digits := 300: convert(evalf(sqrt(530)),confrac);
%Y Cf. A040000, A042012/A042013 (convergents).
%K nonn,cofr,easy,less
%O 0,1
%A _N. J. A. Sloane_
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