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Continued fraction for cube root of 10.
2

%I #12 Dec 20 2015 03:03:01

%S 2,6,2,9,1,1,2,4,1,12,1,1,1,1,57,4,2,16,1,1,1,1,9,6,2,3,1,1,12,1,4,6,

%T 2,2,1001,3,2,6,9,1,15,1,2,1,1,27,2,1,1,21,1,11,9,2,18,15,2,25,1,1,1,

%U 1,35,30,2,4,3,10,1,3,3,4,1,1

%N Continued fraction for cube root of 10.

%H Harry J. Smith, <a href="/A010240/b010240.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 10^(1/3) = 2.1544346900318837... = 2 + 1/(6 + 1/(2 + 1/(9 + 1/(1 + ...)))). - _Harry J. Smith_, May 08 2009

%o (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(10^(1/3)); for (n=1, 20001, write("b010240.txt", n-1, " ", x[n])); } \\ _Harry J. Smith_, May 08 2009

%Y Cf. A010582 = Decimal expansion. - _Harry J. Smith_, May 08 2009

%K nonn,cofr

%O 0,1

%A _N. J. A. Sloane_