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A019712 Continued fraction expansion of tribonacci constant. +0
2
1, 1, 5, 4, 2, 305, 1, 8, 2, 1, 4, 6, 14, 3, 1, 13, 5, 1, 7, 23, 1, 16, 4, 1, 1, 1, 1, 1, 2, 17, 1, 3, 1, 1, 1, 29, 1, 6, 1, 3, 1, 1, 1, 1, 3, 2, 5, 1, 63, 2, 1, 2, 5, 1, 4, 11, 2, 2, 1, 1, 1, 1, 1, 2, 1, 9, 3, 3, 18, 1, 38, 2, 4, 1, 20, 3, 1, 1, 1, 5, 2, 2, 1, 1, 1, 44, 6, 3, 9, 1, 1, 1, 1, 3, 3, 1, 6 (list; graph; listen)
OFFSET

0,3

COMMENT

The only real root of the equation x^3 - x^2 - x - 1 = 0.

REFERENCES

David Wells, "The Penguin Dictionary of Curious and Interesting Numbers," Revised Edition, Penguin Books, London, England, 1997, page 23.

LINKS

G. Xiao, Contfrac

Index entries for continued fractions for constants

MATHEMATICA

ContinuedFraction[ 1/3 + 1/3*(19 - 3*Sqrt[33])^(1/3) + 1/3*(19 + 3*Sqrt[33])^(1/3), 100]

CROSSREFS

Sequence in context: A074825 A094778 A097960 this_sequence A020799 A073743 A021652

Adjacent sequences: A019709 A019710 A019711 this_sequence A019713 A019714 A019715

KEYWORD

cofr,nonn

AUTHOR

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

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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