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A005483 Continued fraction for cube root of 7.
(Formerly M4675)
3

%I M4675

%S 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 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 2,1,2,31

%N Continued fraction for cube root of 7.

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H Harry J. Smith, <a href="/A005483/b005483.txt">Table of n, a(n) for n = 1..20000</a>

%H 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 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 G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a>

%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>

%e 7^(1/3) = 1.912931182772389... = 1 + 1/(1 + 1/(10 + 1/(2 + 1/(16 + ...)))). - _Harry J. Smith_, May 08 2009

%t ContinuedFraction[Surd[7,3],70] (* _Harvey P. Dale_, Oct 01 2013 *)

%o (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(7^(1/3)); for (n=1, 20000, write("b005483.txt", n, " ", x[n])); } \\ _Harry J. Smith_, May 08 2009

%Y Cf. A005482 = Decimal expansion. - _Harry J. Smith_, May 08 2009

%K nonn,cofr

%O 1,3

%A _N. J. A. Sloane_

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Last modified January 19 03:54 EST 2020. Contains 331031 sequences. (Running on oeis4.)