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 A040110 #29 Aug 25 2025 11:14:40 %S A040110 11,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22, %T A040110 22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22, %U A040110 22,22,22,22,22,22,22,22 %N A040110 Continued fraction for sqrt(122). %H A040110 <a href="/index/Con#confC">Index entries for continued fractions for constants</a> %H A040110 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1). %F A040110 From _Elmo R. Oliveira_, Feb 11 2024: (Start) %F A040110 a(n) = 22 = A010861(n) for n >= 1. %F A040110 G.f.: 11*(1+x)/(1-x). %F A040110 E.g.f.: 22*exp(x) - 11. %F A040110 a(n) = 11*A040000(n). (End) %e A040110 11 + 1/(22 + 1/(22 + 1/(22 + 1/(22 + ...)))) = sqrt(122). %p A040110 Digits := 100: convert(evalf(sqrt(N)),confrac,90,'cvgts'): %t A040110 ContinuedFraction[Sqrt[122],300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 12 2011*) %Y A040110 Cf. A040000, A041220/A041221 (convergents). %K A040110 nonn,cofr,easy,changed %O A040110 0,1 %A A040110 _N. J. A. Sloane_