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 A040156 #23 Jul 08 2025 22:52:56 %S A040156 13,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26, %T A040156 26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26, %U A040156 26,26,26,26,26,26,26,26 %N A040156 Continued fraction for sqrt(170). %H A040156 <a href="/index/Con#confC">Index entries for continued fractions for constants</a> %H A040156 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1). %F A040156 From _Elmo R. Oliveira_, Feb 12 2024: (Start) %F A040156 a(n) = 26 for n >= 1. %F A040156 G.f.: 13*(1+x)/(1-x). %F A040156 E.g.f.: 26*exp(x) - 13. %F A040156 a(n) = 13*A040000(n). (End) %e A040156 13 + 1/(26 + 1/(26 + 1/(26 + 1/(26 + ...)))) = sqrt(170). %p A040156 Digits := 100: convert(evalf(sqrt(N)),confrac,90,'cvgts'): %t A040156 ContinuedFraction[Sqrt[170],300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 25 2011*) %Y A040156 Cf. A040000, A041312/A041313 (convergents). %K A040156 nonn,cofr,easy %O A040156 0,1 %A A040156 _N. J. A. Sloane_