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A010670
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Decimal expansion of cube root of 100.
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3
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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, 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, 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
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| 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]
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LINKS
| Harry J. Smith, Table of n, a(n) for n = 1..20000
G. Deslauriers and S. Dubuc, Le calcul de la racine cubique selon Héron, Elem. Math. 51 (1996), pp. 28-34.
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EXAMPLE
| 4.6415888336127788924100763509194465765513491250112436376506928586847778...
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MATHEMATICA
| RealDigits[N[100^(1/3), 200]][[1]] (* From Vladimir Joseph Stephan Orlovsky, Jan 24 2012 *)
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PROG
| (PARI) { default(realprecision, 20080); x=100^(1/3); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010670.txt", n, " ", d)); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 08 2009]
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CROSSREFS
| Cf. A010328 = Continued fraction.
Sequence in context: A087108 A021687 A063422 * A199358 A131890 A062751
Adjacent sequences: A010667 A010668 A010669 * A010671 A010672 A010673
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KEYWORD
| nonn,cons
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| Fixed my PARI program, had -n Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 19 2009
Final digits of sequence corrected using the b-file. - N. J. A. Sloane, Aug 30 2009
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