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 A040650 #18 Feb 16 2024 05:49:50 %S A040650 26,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52, %T A040650 52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52, %U A040650 52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52 %N A040650 Continued fraction for sqrt(677). %H A040650 <a href="/index/Con#confC">Index entries for continued fractions for constants</a> %H A040650 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1). %F A040650 From _Elmo R. Oliveira_, Feb 15 2024: (Start) %F A040650 a(n) = 52 for n >= 1. %F A040650 G.f.: 26*(1+x)/(1-x). %F A040650 E.g.f.: 52*exp(x) - 26. %F A040650 a(n) = 26*A040000(n) = 13*A040002(n) = 2*A040156(n). (End) %e A040650 26 + 1/(52 + 1/(52 + 1/(52 + 1/(52 + ...)))) = sqrt(677). %p A040650 with(numtheory): Digits := 300: convert(evalf(sqrt(677)),confrac); %Y A040650 Cf. A042300/A042301 (convergents). %Y A040650 Cf. A040000, A040002, A040156. %K A040650 nonn,cofr,easy %O A040650 0,1 %A A040650 _N. J. A. Sloane_