cp's OEIS Frontend

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.

A010166 Continued fraction for sqrt(95).

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%I A010166 #25 Nov 15 2023 01:15:48
%S A010166 9,1,2,1,18,1,2,1,18,1,2,1,18,1,2,1,18,1,2,1,18,1,2,1,18,1,2,1,18,1,2,
%T A010166 1,18,1,2,1,18,1,2,1,18,1,2,1,18,1,2,1,18,1,2,1,18,1,2,1,18,1,2,1,18,
%U A010166 1,2,1,18,1,2,1,18,1,2,1,18
%N A010166 Continued fraction for sqrt(95).
%H A010166 Harry J. Smith, <a href="/A010166/b010166.txt">Table of n, a(n) for n = 0..20000</a>
%H A010166 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a>.
%H A010166 <a href="/index/Con#confC">Index entries for continued fractions for constants</a>.
%H A010166 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,1).
%F A010166 From _Amiram Eldar_, Nov 14 2023: (Start)
%F A010166 Multiplicative with a(2) = 2, a(2^e) = 18 for e >= 2, and a(p^e) = 1 for an odd prime p.
%F A010166 Dirichlet g.f.: zeta(s) * (1 + 1/2^s + 1/4^(s-2)). (End)
%e A010166 9.74679434480896390683841319... = 9 + 1/(1 + 1/(2 + 1/(1 + 1/(18 + ...)))). - _Harry J. Smith_, Jun 11 2009
%t A010166 ContinuedFraction[Sqrt[95],300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 10 2011 *)
%o A010166 (PARI) { allocatemem(932245000); default(realprecision, 20000); x=contfrac(sqrt(95)); for (n=0, 20000, write("b010166.txt", n, " ", x[n+1])); } \\ _Harry J. Smith_, Jun 11 2009
%Y A010166 Cf. A010546 (decimal expansion).
%K A010166 nonn,cofr,easy,mult
%O A010166 0,1
%A A010166 _N. J. A. Sloane_