This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A040812 #18 Feb 16 2024 11:27:05 %S A040812 29,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58, %T A040812 58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58, %U A040812 58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58,58 %N A040812 Continued fraction for sqrt(842). %H A040812 <a href="/index/Con#confC">Index entries for continued fractions for constants</a> %H A040812 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1). %F A040812 From _Elmo R. Oliveira_, Feb 16 2024: (Start) %F A040812 a(n) = 58 for n >= 1. %F A040812 G.f.: 29*(1+x)/(1-x). %F A040812 E.g.f.: 58*exp(x) - 29. %F A040812 a(n) = 29*A040000(n). (End) %e A040812 29 + 1/(58 + 1/(58 + 1/(58 + 1/(58 + ...)))) = sqrt(842). %p A040812 with(numtheory): Digits := 300: convert(evalf(sqrt(842)),confrac); %Y A040812 Cf. A040000, A042624/A042625 (convergents). %K A040812 nonn,cofr,easy %O A040812 0,1 %A A040812 _N. J. A. Sloane_