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 A040462 #19 Feb 15 2024 17:28:16 %S A040462 22,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44, %T A040462 44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44, %U A040462 44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44 %N A040462 Continued fraction for sqrt(485). %H A040462 <a href="/index/Con#confC">Index entries for continued fractions for constants</a> %H A040462 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1). %F A040462 From _Elmo R. Oliveira_, Feb 15 2024: (Start) %F A040462 a(n) = 44 for n >= 1. %F A040462 G.f.: 22*(1+x)/(1-x). %F A040462 E.g.f.: 44*exp(x) - 22. %F A040462 a(n) = 22*A040000(n) = 11*A040002(n) = 2*A040110(n). (End) %e A040462 22 + 1/(44 + 1/(44 + 1/(44 + 1/(44 + ...)))) = sqrt(485). %p A040462 with(numtheory): Digits := 300: convert(evalf(sqrt(485)),confrac); %Y A040462 Cf. A041924/A041925 (convergents). %Y A040462 Cf. A040000, A040002, A040110. %K A040462 nonn,cofr,easy,less %O A040462 0,1 %A A040462 _N. J. A. Sloane_