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 A040552 #19 Feb 15 2024 17:28:26 %S A040552 24,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48, %T A040552 48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48, %U A040552 48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48 %N A040552 Continued fraction for sqrt(577). %H A040552 <a href="/index/Con#confC">Index entries for continued fractions for constants</a> %H A040552 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1). %F A040552 From _Elmo R. Oliveira_, Feb 15 2024: (Start) %F A040552 a(n) = 48 for n >= 1. %F A040552 G.f.: 24*(1+x)/(1-x). %F A040552 E.g.f.: 48*exp(x) - 24. %F A040552 a(n) = 24*A040000(n) = 12*A040002(n) = 8*A040006(n). (End) %e A040552 24 + 1/(48 + 1/(48 + 1/(48 + 1/(48 + ...)))) = sqrt(577). %p A040552 with(numtheory): Digits := 300: convert(evalf(sqrt(577)),confrac); %Y A040552 Cf. A042104/A042105 (convergents). %Y A040552 Cf. A040000, A040002, A040006. %K A040552 nonn,cofr,easy,less %O A040552 0,1 %A A040552 _N. J. A. Sloane_