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 A010161 #24 Jan 20 2025 16:07:52 %S A010161 9,2,3,3,2,18,2,3,3,2,18,2,3,3,2,18,2,3,3,2,18,2,3,3,2,18,2,3,3,2,18, %T A010161 2,3,3,2,18,2,3,3,2,18,2,3,3,2,18,2,3,3,2,18,2,3,3,2,18,2,3,3,2,18,2, %U A010161 3,3,2,18,2,3,3,2,18,2,3,3,2 %N A010161 Continued fraction for sqrt(89). %H A010161 Harry J. Smith, <a href="/A010161/b010161.txt">Table of n, a(n) for n = 0..20000</a> %H A010161 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a> %H A010161 <a href="/index/Con#confC">Index entries for continued fractions for constants</a> %H A010161 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 1). %e A010161 9.433981132056603811320660377... = 9 + 1/(2 + 1/(3 + 1/(3 + 1/(2 + ...)))). - _Harry J. Smith_, Jun 10 2009 %t A010161 ContinuedFraction[Sqrt[89],300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 10 2011 *) %t A010161 LinearRecurrence[{0,0,0,0,1},{9,2,3,3,2,18},120] (* or *) PadRight[{9},120,{18,2,3,3,2}] (* _Harvey P. Dale_, Jan 20 2025 *) %o A010161 (PARI) { allocatemem(932245000); default(realprecision, 25000); x=contfrac(sqrt(89)); for (n=0, 20000, write("b010161.txt", n, " ", x[n+1])); } \\ _Harry J. Smith_, Jun 10 2009 %Y A010161 Cf. A010540 Decimal expansion. - _Harry J. Smith_, Jun 10 2009 %K A010161 nonn,cofr %O A010161 0,1 %A A010161 _N. J. A. Sloane_