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 A010134 #38 Jul 27 2025 10:07:15
%S A010134 6,1,1,3,1,5,1,3,1,1,12,1,1,3,1,5,1,3,1,1,12,1,1,3,1,5,1,3,1,1,12,1,1,
%T A010134 3,1,5,1,3,1,1,12,1,1,3,1,5,1,3,1,1,12,1,1,3,1,5,1,3,1,1,12,1,1,3,1,5,
%U A010134 1,3,1,1,12,1,1,3,1,5,1,3
%N A010134 Continued fraction for sqrt(43).
%D A010134 James J. Tattersall, Elementary Number Theory in Nine Chapters, Cambridge University Press, 1999, page 276.
%H A010134 Harry J. Smith, <a href="/A010134/b010134.txt">Table of n, a(n) for n = 0..20000</a>
%H A010134 Les Tablettes du Chercheur, <a href="https://gallica.bnf.fr/ark:/12148/bpt6k58162334/f11.item">Problem 364</a>, pp. 11, Mai 15 1891
%H A010134 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a>
%H A010134 <a href="/index/Con#confC">Index entries for continued fractions for constants</a>
%H A010134 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,1).
%F A010134 From _Colin Barker_, Nov 01 2013: (Start)
%F A010134 G.f.: (6*x^10+x^9+x^8+3*x^7+x^6+5*x^5+x^4+3*x^3+x^2+x+6)/(1-x^10).
%F A010134 a(n) = a(n-10) for n>10. (End)
%e A010134 6.557438524302000652344109997... = 6 + 1/(1 + 1/(1 + 1/(3 + 1/(1 + ...)))) - _Harry J. Smith_, Jun 05 2009
%t A010134 ContinuedFraction[Sqrt[43],300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 06 2011 *)
%o A010134 (PARI) { allocatemem(932245000); default(realprecision, 16000); x=contfrac(sqrt(43)); for (n=0, 20000, write("b010134.txt", n, " ", x[n+1])); } \\ _Harry J. Smith_, Jun 05 2009
%o A010134 (PARI) Vec((6*x^10+x^9+x^8+3*x^7+x^6+5*x^5+x^4+3*x^3+x^2+x+6)/(-x^10+1) + O(x^100)) \\ _Colin Barker_, Nov 01 2013
%Y A010134 Cf. A010497 (decimal expansion).
%K A010134 nonn,easy,cofr
%O A010134 0,1
%A A010134 _N. J. A. Sloane_