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A005480 Decimal expansion of cube root of 4.
(Formerly M3771)
4
1, 5, 8, 7, 4, 0, 1, 0, 5, 1, 9, 6, 8, 1, 9, 9, 4, 7, 4, 7, 5, 1, 7, 0, 5, 6, 3, 9, 2, 7, 2, 3, 0, 8, 2, 6, 0, 3, 9, 1, 4, 9, 3, 3, 2, 7, 8, 9, 9, 8, 5, 3, 0, 0, 9, 8, 0, 8, 2, 8, 5, 7, 6, 1, 8, 2, 5, 2, 1, 6, 5, 0, 5, 6, 2, 4, 2, 1, 9, 1, 7, 3, 2, 7, 3, 5, 4, 4, 2, 1, 3, 2, 6, 2, 2, 2, 0, 9, 5, 7, 0, 2, 2, 9, 3, 4, 7, 6 (list; constant; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Let h=4^(1/3).  Then (h+1,0) is the x-intercept of the shortest segment from the x-axis through (1,2) to the y-axis; see A197008.  [From Clark Kimberling, Oct 10 2011]

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Horace S. Uhler, Many-figure approximations for cubed root of 2, cubed root of 3, cubed root of 4, and cubed root of 9 with chi2 data, Scripta Math. 18, (1952), p. 173-176.

LINKS

Harry J. Smith, Table of n, a(n) for n=1,...,20000

EXAMPLE

1.587401051968199474751705639272308260391493327899853...

MATHEMATICA

RealDigits[N[4^(1/3), 200]] (* From Vladimir Orlovsky (4vladimir(AT)gmail.com), May 27 2010 *)

PROG

(PARI) { default(realprecision, 20080); x=4^(1/3); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b005480.txt", n, " ", d)); } \\ From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 07 2009, with a correction made May 19 2009

CROSSREFS

Cf. A002947 = Continued fraction. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 07 2009]

Sequence in context: A133731 A021067 A047914 * A204921 A021867 A165909

Adjacent sequences:  A005477 A005478 A005479 * A005481 A005482 A005483

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com). Entry revised Apr 23 2006

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Last modified February 17 21:13 EST 2012. Contains 206085 sequences.