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.

A005483 Continued fraction for cube root of 7.

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%I A005483 M4675 #25 Jul 05 2024 10:07:17
%S A005483 1,1,10,2,16,2,1,4,2,1,21,1,3,5,1,2,1,1,2,11,5,1,3,1,2,27,4,1,282,8,1,
%T A005483 2,1,1,3,1,3,2,6,4,1,2,1,5,1,1,2,1,1,1,3,2,8,1,2,2,4,5,1,1,36,1,1,1,1,
%U A005483 2,1,2,31,2,1,1,7,1,1,1,1,6,7,6,5,7,1,6,1
%N A005483 Continued fraction for cube root of 7.
%D A005483 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A005483 Harry J. Smith, <a href="/A005483/b005483.txt">Table of n, a(n) for n = 0..19999</a>
%H A005483 S. Lang and H. Trotter, <a href="http://dx.doi.org/10.1515/crll.1972.255.112">Continued fractions for some algebraic numbers</a>, J. Reine Angew. Math. 255 (1972), 112-134.
%H A005483 S. Lang and H. Trotter, <a href="/A002945/a002945.pdf">Continued fractions for some algebraic numbers</a>, J. Reine Angew. Math. 255 (1972), 112-134. [Annotated scanned copy]
%H A005483 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a>
%H A005483 <a href="/index/Con#confC">Index entries for continued fractions for constants</a>
%e A005483 7^(1/3) = 1.912931182772389... = 1 + 1/(1 + 1/(10 + 1/(2 + 1/(16 + ...)))). - _Harry J. Smith_, May 08 2009
%t A005483 ContinuedFraction[Surd[7,3],70] (* _Harvey P. Dale_, Oct 01 2013 *)
%o A005483 (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(7^(1/3)); for (n=1, 20000, write("b005483.txt", n-1, " ", x[n])); } \\ _Harry J. Smith_, May 08 2009
%Y A005483 Cf. A005482 (decimal expansion).
%Y A005483 Cf. A005484, A005485 (convergents).
%K A005483 nonn,cofr
%O A005483 0,3
%A A005483 _N. J. A. Sloane_
%E A005483 Offset changed by _Andrew Howroyd_, Jul 05 2024