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%I #18 Jan 27 2018 06:26:37
%S 4,1,1,1,3,1,3,4,4,1,1,3,1,16,1,1,1,5,8,5,1,1,1,6,4,3,1,1,1,23,1,5,3,
%T 12,2,1,1,3,1,1,1,99,1,1,8,6,2,3,1,1,2,1,3,1,2,6,2,1,1,1,3,2,8,1,1,3,
%U 4,3,1,1,2,7,38,1,2,1,1,1,6,6
%N Continued fraction for cube root of 100.
%C Heron (or Hero) of Alexandria calculated this constant as 4 + 9/14 or (4; 1, 1, 1, 4) in the first century AD, see Deslauriers & Dubuc or Metrica book III section 20. - _Charles R Greathouse IV_, Jan 16 2012
%H Harry J. Smith, <a href="/A010328/b010328.txt">Table of n, a(n) for n = 0..20000</a>
%H G. Deslauriers and S. Dubuc, <a href="http://resolver.sub.uni-goettingen.de/purl?PPN378850199_0051/dmdlog6">Le calcul de la racine cubique selon Héron</a>, Elem. Math. 51 (1996), pp. 28-34.
%H G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a>
%e 100^(1/3) = 4.641588833612778... = 4 + 1/(1 + 1/(1 + 1/(1 + 1/(3 + ...)))). - _Harry J. Smith_, May 08 2009
%o (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(100^(1/3)); for (n=1, 20001, write("b010328.txt", n-1, " ", x[n])); } \\ _Harry J. Smith_, May 08 2009
%Y Cf. A010670 = Decimal expansion.
%K nonn,cofr
%O 0,1
%A _N. J. A. Sloane_
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