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 A040240 #26 Feb 14 2024 10:46:20
%S A040240 16,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
%T A040240 32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
%U A040240 32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32
%N A040240 Continued fraction for sqrt(257).
%H A040240 <a href="/index/Con#confC">Index entries for continued fractions for constants</a>
%H A040240 <a href="/index/Di#divseq">Index to divisibility sequences</a>
%H A040240 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1).
%F A040240 From _Elmo R. Oliveira_, Feb 13 2024: (Start)
%F A040240 a(n) = 32 for n >= 1.
%F A040240 G.f.: 16*(1+x)/(1-x).
%F A040240 E.g.f.: 32*exp(x) - 16.
%F A040240 a(n) = 16*A040000(n) = 8*A040002(n) = 4*A040012(n) = 2*A040056(n). (End)
%e A040240 16 + 1/(32 + 1/(32 + 1/(32 + 1/(32 + ...)))) = sqrt(257).
%p A040240 with(numtheory): Digits := 300: convert(evalf(sqrt(257)),confrac);
%t A040240 Block[{$MaxExtraPrecision=1000}, ContinuedFraction[Sqrt[257],100]] (* or *) PadRight[{16},100,{32}] (* _Harvey P. Dale_, Aug 15 2021 *)
%o A040240 (PARI) a(n)=if(n,32,16) \\ _Charles R Greathouse IV_, Apr 08 2012
%Y A040240 Cf. A041480/A041481 (convergents).
%Y A040240 Cf. A040000, A040002, A040012, A040056.
%K A040240 nonn,cofr,easy
%O A040240 0,1
%A A040240 _N. J. A. Sloane_