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 A040306 #25 Feb 15 2024 13:01:48
%S A040306 18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
%T A040306 36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
%U A040306 36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36
%N A040306 Continued fraction for sqrt(325).
%H A040306 <a href="/index/Con#confC">Index entries for continued fractions for constants</a>
%H A040306 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1).
%F A040306 From _Elmo R. Oliveira_, Feb 14 2024: (Start)
%F A040306 a(n) = 36 for n >= 1.
%F A040306 G.f.: 18*(1+x)/(1-x).
%F A040306 E.g.f.: 36*exp(x) - 18.
%F A040306 a(n) = 18*A040000(n) = 9*A040002(n) = 6*A040006(n). (End)
%e A040306 18 + 1/(36 + 1/(36 + 1/(36 + 1/(36 + ...)))) = sqrt(325).
%p A040306 with(numtheory): Digits := 300: convert(evalf(sqrt(325)),confrac);
%t A040306 Block[{$MaxExtraPrecision=1000}, ContinuedFraction[Sqrt[325],100]] (* or *) PadRight[{18},100,{36}] (* _Harvey P. Dale_, Dec 01 2020 *)
%Y A040306 Cf. A041612/A041613 (convergents).
%Y A040306 Cf. A040000, A040002, A040006.
%K A040306 nonn,cofr,easy
%O A040306 0,1
%A A040306 _N. J. A. Sloane_