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 A040702 #18 Feb 16 2024 05:50:02 %S A040702 27,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54, %T A040702 54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54, %U A040702 54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54 %N A040702 Continued fraction for sqrt(730). %H A040702 <a href="/index/Con#confC">Index entries for continued fractions for constants</a> %H A040702 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1). %F A040702 From _Elmo R. Oliveira_, Feb 15 2024: (Start) %F A040702 a(n) = 54 for n >= 1. %F A040702 G.f.: 27*(1+x)/(1-x). %F A040702 E.g.f.: 54*exp(x) - 27. %F A040702 a(n) = 27*A040000(n) = 9*A040006(n) = 3*A040072(n). (End) %e A040702 27 + 1/(54 + 1/(54 + 1/(54 + 1/(54 + ...)))) = sqrt(730). %p A040702 with(numtheory): Digits := 300: convert(evalf(sqrt(730)),confrac); %Y A040702 Cf. A042404/A042405 (convergents). %Y A040702 Cf. A040000, A040006, A040072. %K A040702 nonn,cofr,easy %O A040702 0,1 %A A040702 _N. J. A. Sloane_