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A058297 Continued fraction for Wallis' number (A007493). +0
1
2, 10, 1, 1, 2, 1, 3, 1, 1, 12, 3, 5, 1, 1, 2, 1, 6, 1, 11, 4, 42, 1, 2, 1, 1, 1, 1, 1, 2, 1, 16, 1, 1, 1, 1, 6, 2, 5, 22, 6, 31, 2, 1, 4, 17, 2, 1, 5, 2, 4, 5, 2, 74, 45, 1, 24, 3, 1, 13, 1, 18, 2, 8, 1, 1, 5, 2, 1, 1, 2, 10, 1, 6, 6, 1, 1, 7, 21, 1, 1, 2, 2, 8, 3, 2, 2, 4, 9, 7, 4, 106, 3, 2, 1, 3, 2 (list; graph; listen)
OFFSET

0,1

COMMENT

The real solution to the equation x^3 - 2x - 5 = 0.

REFERENCES

David Wells, "The Penguin Dictionary of Curious and Interesting Numbers," Revised Edition, Penguin Books, London, England, 1997, page 27.

LINKS

G. Xiao, Contfrac

Index entries for continued fractions for constants

MATHEMATICA

ContinuedFraction[ 1/3*(135/2 - (3*Sqrt[1929])/2)^(1/3) + (1/2*(45 + Sqrt[1929]))^(1/3) / 3^(2/3), 100]

CROSSREFS

Cf. A007493.

Sequence in context: A120314 A050924 A096877 this_sequence A113160 A100078 A051242

Adjacent sequences: A058294 A058295 A058296 this_sequence A058298 A058299 A058300

KEYWORD

nonn,cofr

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 07 2000

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Last modified September 5 19:27 EDT 2008. Contains 143485 sequences.


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