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 A010157 #26 Nov 13 2023 07:10:31 %S A010157 8,1,7,1,16,1,7,1,16,1,7,1,16,1,7,1,16,1,7,1,16,1,7,1,16,1,7,1,16,1,7, %T A010157 1,16,1,7,1,16,1,7,1,16,1,7,1,16,1,7,1,16,1,7,1,16,1,7,1,16,1,7,1,16, %U A010157 1,7,1,16,1,7,1,16,1,7,1,16 %N A010157 Continued fraction for sqrt(79). %H A010157 Harry J. Smith, <a href="/A010157/b010157.txt">Table of n, a(n) for n = 0..20000</a> %H A010157 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a>. %H A010157 <a href="/index/Con#confC">Index entries for continued fractions for constants</a>. %H A010157 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,1). %F A010157 From _Amiram Eldar_, Nov 13 2023: (Start) %F A010157 Multiplicative with a(2) = 7, a(2^e) = 16 for e >= 2, and a(p^e) = 1 for an odd prime p. %F A010157 Dirichlet g.f.: zeta(s) * (1 + 3/2^(s-1) + 9/4^s). (End) %e A010157 8.88819441731558885009144167... = 8 + 1/(1 + 1/(7 + 1/(1 + 1/(16 + ...)))). - _Harry J. Smith_, Jun 09 2009 %t A010157 ContinuedFraction[Sqrt[79],300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 09 2011 *) %o A010157 (PARI) { allocatemem(932245000); default(realprecision, 23000); x=contfrac(sqrt(79)); for (n=0, 20000, write("b010157.txt", n, " ", x[n+1])); } \\ _Harry J. Smith_, Jun 09 2009 %Y A010157 Cf. A010531 (decimal expansion). %K A010157 nonn,cofr,easy,mult %O A010157 0,1 %A A010157 _N. J. A. Sloane_