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.

A010139 Continued fraction for sqrt(53).

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%I A010139 #25 Dec 27 2023 00:25:10
%S A010139 7,3,1,1,3,14,3,1,1,3,14,3,1,1,3,14,3,1,1,3,14,3,1,1,3,14,3,1,1,3,14,
%T A010139 3,1,1,3,14,3,1,1,3,14,3,1,1,3,14,3,1,1,3,14,3,1,1,3,14,3,1,1,3,14,3,
%U A010139 1,1,3,14,3,1,1,3,14,3,1,1,3
%N A010139 Continued fraction for sqrt(53).
%H A010139 Harry J. Smith, <a href="/A010139/b010139.txt">Table of n, a(n) for n = 0..20000</a>
%H A010139 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a>
%H A010139 <a href="/index/Con#confC">Index entries for continued fractions for constants</a>
%H A010139 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 1).
%e A010139 7.280109889280518271097302491... = 7 + 1/(3 + 1/(1 + 1/(1 + 1/(3 + ...)))). - _Harry J. Smith_, Jun 06 2009
%t A010139 ContinuedFraction[Sqrt[53],300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 07 2011 *)
%t A010139 PadRight[{7},120,{14,3,1,1,3}] (* _Harvey P. Dale_, May 22 2016 *)
%o A010139 (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(53)); for (n=0, 20000, write("b010139.txt", n, " ", x[n+1])); } \\ _Harry J. Smith_, Jun 06 2009
%Y A010139 Cf. A010506 Decimal expansion. - _Harry J. Smith_, Jun 06 2009
%K A010139 nonn,cofr
%O A010139 0,1
%A A010139 _N. J. A. Sloane_