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%I #16 Sep 26 2018 23:26:09
%S 1,1,5,4,2,305,1,8,2,1,4,6,14,3,1,13,5,1,7,23,1,16,4,1,1,1,1,1,2,17,1,
%T 3,1,1,1,29,1,6,1,3,1,1,1,1,3,2,5,1,63,2,1,2,5,1,4,11,2,2,1,1,1,1,1,2,
%U 1,9,3,3,18,1,38,2,4,1,20,3,1,1,1,5,2,2,1,1,1,44,6,3,9,1,1,1,1,3,3,1,6
%N Continued fraction expansion of tribonacci constant A058265.
%C The only real root of the equation x^3 - x^2 - x - 1 = 0.
%D David Wells, "The Penguin Dictionary of Curious and Interesting Numbers," Revised Edition, Penguin Books, London, England, 1997, page 23.
%H Harry J. Smith, <a href="/A019712/b019712.txt">Table of n, a(n) for n = 0..20000</a>
%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 1.839286755214161132551852564... = 1 + 1/(1 + 1/(5 + 1/(4 + 1/(2 + ...)))). - _Harry J. Smith_, May 30 2009
%t ContinuedFraction[ 1/3 + 1/3*(19 - 3*Sqrt[33])^(1/3) + 1/3*(19 + 3*Sqrt[33])^(1/3), 100]
%o (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(solve(x=1, 2, x^3 - x^2 - x - 1)); for (n=0, 20000, write("b019712.txt", n, " ", x[n+1])); } \\ _Harry J. Smith_, May 30 2009
%Y Cf. A058265 (decimal expansion).
%K cofr,nonn
%O 0,3
%A _Robert G. Wilson v_, Dec 07 2000
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