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%I #35 Oct 19 2023 09:07:15
%S 4,6,4,1,5,8,8,8,3,3,6,1,2,7,7,8,8,9,2,4,1,0,0,7,6,3,5,0,9,1,9,4,4,6,
%T 5,7,6,5,5,1,3,4,9,1,2,5,0,1,1,2,4,3,6,3,7,6,5,0,6,9,2,8,5,8,6,8,4,7,
%U 7,7,8,6,9,6,9,2,8,4,4,8,2,6,1,8,9,9,5,9,0,7,0,8,9,7,5,7,1,3,7,9,8,4,1,5,4
%N Decimal expansion of cube root of 100.
%C Heron (or Hero) of Alexandria calculated this constant as 4 + 9/14 in the first century AD, see Deslauriers & Dubuc or Metrica book III section 20. - _Charles R Greathouse IV_, Jan 12 2012
%H Harry J. Smith, <a href="/A010670/b010670.txt">Table of n, a(n) for n = 1..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.
%e 4.6415888336127788924100763509194465765513491250112436376506928586847778...
%t RealDigits[N[100^(1/3),200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Jan 24 2012 *)
%o (PARI) { default(realprecision, 20080); x=100^(1/3); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010670.txt", n, " ", d)); } \\ _Harry J. Smith_, May 08 2009
%Y Cf. A010328 (continued fraction).
%K nonn,cons
%O 1,1
%A _N. J. A. Sloane_
%E Final digits of sequence corrected using the b-file by _N. J. A. Sloane_, Aug 30 2009
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