%I #18 Feb 16 2024 11:27:05
%S 29,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,
%T 58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,
%U 58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58
%N Continued fraction for sqrt(842).
%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 16 2024: (Start)
%F a(n) = 58 for n >= 1.
%F G.f.: 29*(1+x)/(1-x).
%F E.g.f.: 58*exp(x) - 29.
%F a(n) = 29*A040000(n). (End)
%e 29 + 1/(58 + 1/(58 + 1/(58 + 1/(58 + ...)))) = sqrt(842).
%p with(numtheory): Digits := 300: convert(evalf(sqrt(842)),confrac);
%Y Cf. A040000, A042624/A042625 (convergents).
%K nonn,cofr,easy
%O 0,1
%A _N. J. A. Sloane_