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 A040506 #21 Jul 14 2024 13:24:47 %S A040506 23,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46, %T A040506 46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46, %U A040506 46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46 %N A040506 Continued fraction for sqrt(530). %H A040506 <a href="/index/Con#confC">Index entries for continued fractions for constants</a> %H A040506 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1). %F A040506 From _Elmo R. Oliveira_, Feb 15 2024: (Start) %F A040506 a(n) = 46 for n >= 1. %F A040506 G.f.: 23*(1+x)/(1-x). %F A040506 E.g.f.: 46*exp(x) - 23. %F A040506 a(n) = 23*A040000(n). (End) %e A040506 23 + 1/(46 + 1/(46 + 1/(46 + 1/(46 + ...)))) = sqrt(530). %p A040506 with(numtheory): Digits := 300: convert(evalf(sqrt(530)),confrac); %t A040506 Block[{$MaxExtraPrecision=1000}, ContinuedFraction[Sqrt[530],100]] (* or *) PadRight[{23},100,{46}] (* _Harvey P. Dale_, Jul 14 2024 *) %Y A040506 Cf. A040000, A042012/A042013 (convergents). %K A040506 nonn,cofr,easy,less %O A040506 0,1 %A A040506 _N. J. A. Sloane_