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 A040022 #30 Jul 26 2025 10:20:53
%S A040022 5,3,2,3,10,3,2,3,10,3,2,3,10,3,2,3,10,3,2,3,10,3,2,3,10,3,2,3,10,3,2,
%T A040022 3,10,3,2,3,10,3,2,3,10,3,2,3,10,3,2,3,10,3,2,3,10,3,2,3,10,3,2,3,10,
%U A040022 3,2,3,10,3,2,3,10,3,2,3,10
%N A040022 Continued fraction for sqrt(28).
%D A040022 James J. Tattersall, Elementary Number Theory in Nine Chapters, Cambridge University Press, 1999, page 276.
%H A040022 Harry J. Smith, <a href="/A040022/b040022.txt">Table of n, a(n) for n = 0..20000</a>
%H A040022 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a>
%H A040022 <a href="/index/Con#confC">Index entries for continued fractions for constants</a>
%H A040022 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,1).
%F A040022 G.f.: (5 + 3*x + 2*x^2 + 3*x^3 + 5*x^4)/(1 - x^4). - _Stefano Spezia_, Jul 26 2025
%e A040022 5.29150262212918118100323150... = 5 + 1/(3 + 1/(2 + 1/(3 + 1/(10 + ...)))). - _Harry J. Smith_, Jun 04 2009
%p A040022 Digits := 100: convert(evalf(sqrt(N)),confrac,90,'cvgts'):
%t A040022 ContinuedFraction[Sqrt[28], 300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 05 2011 *)
%t A040022 PadRight[{5},120,{10,3,2,3}] (* _Harvey P. Dale_, Aug 13 2024 *)
%o A040022 (PARI) { allocatemem(932245000); default(realprecision, 25000); x=contfrac(sqrt(28)); for (n=0, 20000, write("b040022.txt", n, " ", x[n+1])); } \\ _Harry J. Smith_, Jun 04 2009
%Y A040022 Cf. A010483 Decimal expansion. - _Harry J. Smith_, Jun 04 2009
%K A040022 nonn,cofr,easy
%O A040022 0,1
%A A040022 _N. J. A. Sloane_