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A058304 Continued fraction for Liouville's number (A012245). +0
2
0, 9, 11, 99, 1, 10, 9, 999999999999, 1, 8, 10, 1, 99, 11, 9, 999999999999999999999999999999999999999999999999999999999999999999999999, 1, 8, 11, 99, 1, 10, 8, 1, 999999999999, 9, 10, 1, 99, 11, 9 (list; graph; listen)
OFFSET

1,2

REFERENCES

Harold M. Stark, "An Introduction to Number Theory," The MIT Press, Cambridge, MA and London, England, Eighth Printing, 1994, pages 172 - 177.

LINKS

Harry J. Smith, Table of n, a(n) for n=1,...,63

G. Xiao, Contfrac

Index entries for continued fractions for constants

Eric Weisstein's World of Mathematics, Liouville's Constant

EXAMPLE

0.1100010000000000000000010... = 0 + 1/(9 + 1/(11 + 1/(99 + 1/(1 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 15 2009]

MATHEMATICA

ContinuedFraction[ Sum[ 1 /10^(n!), {n, 1, 7} ], 40 ]

PROGRAM

(PARI) { allocatemem(932245000); default(realprecision, 200000); x=contfrac(suminf(n=1, 1.0/10^n!)); for (n=1, 255, write("b058304.txt", n, " ", x[n])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 15 2009]

CROSSREFS

Cf. A012245.

Sequence in context: A137016 A053886 A137020 this_sequence A027727 A019328 A119786

Adjacent sequences: A058301 A058302 A058303 this_sequence A058305 A058306 A058307

KEYWORD

cofr,nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 08 2000

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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