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 A010128 #37 Jul 26 2025 10:28:40 %S A010128 5,2,1,1,2,10,2,1,1,2,10,2,1,1,2,10,2,1,1,2,10,2,1,1,2,10,2,1,1,2,10, %T A010128 2,1,1,2,10,2,1,1,2,10,2,1,1,2,10,2,1,1,2,10,2,1,1,2,10,2,1,1,2,10,2, %U A010128 1,1,2,10,2,1,1,2,10,2,1,1,2,10,2,1,1,2,10 %N A010128 Continued fraction for sqrt(29). %D A010128 James J. Tattersall, Elementary Number Theory in Nine Chapters, Cambridge University Press, 1999, page 276. %H A010128 Harry J. Smith, <a href="/A010128/b010128.txt">Table of n, a(n) for n = 0..20000</a> %H A010128 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a> %H A010128 <a href="/index/Con#confC">Index entries for continued fractions for constants</a> %H A010128 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,1). %F A010128 G.f.: (5 + 2*x + x^2 + x^3 + 2*x^4 + 5*x^5)/(1 - x^5). - _Stefano Spezia_, Jul 26 2025 %e A010128 5.385164807134504031250710491... = 5 + 1/(2 + 1/(1 + 1/(1 + 1/(2 + ...)))). - _Harry J. Smith_, Jun 04 2009 %t A010128 ContinuedFraction[Sqrt[29], 300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 06 2011 *) %t A010128 PadRight[{5},120,{10,2,1,1,2}] (* _Harvey P. Dale_, Apr 18 2017 *) %o A010128 (PARI) { allocatemem(932245000); default(realprecision, 18000); x=contfrac(sqrt(29)); for (n=0, 20000, write("b010128.txt", n, " ", x[n+1])); } \\ _Harry J. Smith_, Jun 04 2009 %Y A010128 Cf. A010484 (Decimal expansion). - _Harry J. Smith_, Jun 04 2009 %K A010128 nonn,cofr,easy %O A010128 0,1 %A A010128 _N. J. A. Sloane_