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%I M3473 #32 Dec 15 2018 15:44:57
%S 1,4,14,2,1,1,3,2,29,2,1,7,1,5,2,1,1,19,12,77,2,16,2,1,1,15,1,1,3,14,
%T 5,1,3,2,1,1,1,1,1,1,5,1,463,1,379,3,5,3,11,1,7,7,1,1,2,1,1,1,2,1,1,1,
%U 2,1,46,17,44,1,1,1,2,24,9,1,7,4,1,2,2,1,3,2,7,1,7,1,1,2,1,1,4,1,46,8,2
%N Continued fraction for fifth root of 3.
%D H. P. Robinson, Letter to N. J. A. Sloane, Nov 13 1973.
%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="/A003117/b003117.txt">Table of n, a(n) for n = 1..20000</a>
%H Herman P. Robinson, <a href="/A003116/a003116.pdf">Letter to N. J. A. Sloane, Nov 13 1973</a>.
%H J. Shallit & N. J. A. Sloane, <a href="/A002949/a002949.pdf">Correspondence 1974-1975</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 1.24573093961551732596668033... = 1 + 1/(4 + 1/(14 + 1/(2 + 1/(1 + ...)))). - _Harry J. Smith_, May 12 2009
%t ContinuedFraction[Surd[3,5],120] (* _Harvey P. Dale_, Dec 15 2018 *)
%o (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(3^(1/5)); for (n=1, 20000, write("b003117.txt", n, " ", x[n])); } \\ _Harry J. Smith_, May 12 2009
%Y Cf. A005532 = Decimal expansion. - _Harry J. Smith_, May 12 2009
%K nonn,cofr
%O 1,2
%A _N. J. A. Sloane_
%E More terms from _James A. Sellers_, Sep 08 2000
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