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A002581
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Decimal expansion of cube root of 3.
(Formerly M3220 N1304)
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4
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1, 4, 4, 2, 2, 4, 9, 5, 7, 0, 3, 0, 7, 4, 0, 8, 3, 8, 2, 3, 2, 1, 6, 3, 8, 3, 1, 0, 7, 8, 0, 1, 0, 9, 5, 8, 8, 3, 9, 1, 8, 6, 9, 2, 5, 3, 4, 9, 9, 3, 5, 0, 5, 7, 7, 5, 4, 6, 4, 1, 6, 1, 9, 4, 5, 4, 1, 6, 8, 7, 5, 9, 6, 8, 2, 9, 9, 9, 7, 3, 3, 9, 8, 5, 4, 7, 5, 5, 4, 7, 9, 7, 0, 5, 6, 4, 5, 2, 5, 6, 6, 8, 6, 8, 3, 5, 0, 8
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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REFERENCES
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N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
Uhler, Horace S.; Many-figure approximations for $\root 3\of 2$, $\root 3\of 3$, $\root 3\of 4$ and $\root 3\of 9$ with $\chi\sp 2$ data. Scripta Math. 18, (1952). 173-176.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,20000
_Simon Plouffe_, The cube root of 3 to 2000 places
_Simon Plouffe_, Plouffe's Inverter, The cube root of 3 to 2000 places
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EXAMPLE
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1.442249570307408382321638310780109588391869253499350577546416...
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MATHEMATICA
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RealDigits[N[3^(1/3), 200]] (* From Vladimir Orlovsky, May 27 2010 *)
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PROG
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(PARI) { default(realprecision, 20080); x=3^(1/3); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b002581.txt", n, " ", d)); } [From Harry J. Smith, May 07 2009]
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CROSSREFS
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Cf. A002946 = Continued fraction. [From Harry J. Smith, May 07 2009]
Sequence in context: A162232 A029676 A105190 * A161778 A099655 A146899
Adjacent sequences: A002578 A002579 A002580 * A002582 A002583 A002584
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KEYWORD
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nonn,cons
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AUTHOR
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N. J. A. Sloane.
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EXTENSIONS
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Fixed my PARI program, had -n Harry J. Smith, May 19 2009
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STATUS
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approved
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