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A003118 Continued fraction for fifth root of 4.
(Formerly M2607)
+0
2
1, 3, 7, 1, 2, 2, 1, 2, 4, 56, 1, 14, 2, 1, 1, 3, 5, 6, 2, 1, 1, 2, 1, 1, 8, 1, 2, 2, 1, 5, 1, 4, 1, 1, 3, 3, 1, 1, 3, 7, 4, 1, 10, 1, 2, 1, 8, 2, 4, 1, 1, 9, 2, 2, 2, 1, 2, 1, 1, 1, 92, 1, 26, 4, 31, 1 (list; graph; listen)
OFFSET

1,2

REFERENCES

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

LINKS

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

G. Xiao, Contfrac

Index entries for continued fractions for constants

EXAMPLE

1.319507910772894259374001971... = 1 + 1/(3 + 1/(7 + 1/(1 + 1/(2 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 11 2009]

PROGRAM

(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(4^(1/5)); for (n=1, 20000, write("b003118.txt", n, " ", x[n])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 11 2009]

CROSSREFS

Cf. A005533 = Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 11 2009]

Sequence in context: A072450 A085785 A127929 this_sequence A096409 A019631 A023527

Adjacent sequences: A003115 A003116 A003117 this_sequence A003119 A003120 A003121

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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