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 A040272 #18 Feb 15 2024 08:46:05 %S A040272 17,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34, %T A040272 34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34, %U A040272 34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34 %N A040272 Continued fraction for sqrt(290). %H A040272 <a href="/index/Con#confC">Index entries for continued fractions for constants</a> %H A040272 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1). %F A040272 From _Elmo R. Oliveira_, Feb 14 2024: (Start) %F A040272 a(n) = 34 for n >= 1. %F A040272 G.f.: 17*(1+x)/(1-x). %F A040272 E.g.f.: 34*exp(x) - 17. %F A040272 a(n) = 17*A040000(n). (End) %e A040272 17 + 1/(34 + 1/(34 + 1/(34 + 1/(34 + ...)))) = sqrt(290). %p A040272 with(numtheory): Digits := 300: convert(evalf(sqrt(290)),confrac); %Y A040272 Cf. A040000, A041544/A041545 (convergents). %K A040272 nonn,cofr,easy %O A040272 0,1 %A A040272 _N. J. A. Sloane_