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.

A040063 Continued fraction for sqrt(72).

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%I A040063 #24 Dec 27 2023 00:38:05
%S A040063 8,2,16,2,16,2,16,2,16,2,16,2,16,2,16,2,16,2,16,2,16,2,16,2,16,2,16,2,
%T A040063 16,2,16,2,16,2,16,2,16,2,16,2,16,2,16,2,16,2,16,2,16,2,16,2,16,2,16,
%U A040063 2,16,2,16,2,16,2,16,2,16,2
%N A040063 Continued fraction for sqrt(72).
%H A040063 Harry J. Smith, <a href="/A040063/b040063.txt">Table of n, a(n) for n = 0..20000</a>
%H A040063 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a>
%H A040063 <a href="/index/Con#confC">Index entries for continued fractions for constants</a>
%H A040063 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (0, 1).
%e A040063 8.4852813742385702928101323... = 8 + 1/(2 + 1/(16 + 1/(2 + 1/(16 + ...)))). - _Harry J. Smith_, Jun 08 2009
%p A040063 Digits := 100: convert(evalf(sqrt(N)),confrac,90,'cvgts'):
%t A040063 ContinuedFraction[Sqrt[72],300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 08 2011 *)
%t A040063 PadRight[{8},120,{16,2}] (* _Harvey P. Dale_, May 06 2018 *)
%o A040063 (PARI) { allocatemem(932245000); default(realprecision, 31000); x=contfrac(sqrt(72)); for (n=0, 20000, write("b040063.txt", n, " ", x[n+1])); } \\ _Harry J. Smith_, Jun 08 2009
%Y A040063 Cf. A010524 Decimal expansion. - _Harry J. Smith_, Jun 08 2009
%K A040063 nonn,cofr,easy
%O A040063 0,1
%A A040063 _N. J. A. Sloane_