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A002950 Continued fraction for fifth root of 2.
(Formerly M4044)
+0
3
1, 6, 1, 2, 1, 1, 1, 3, 25, 1, 4, 3, 3, 7, 52, 1, 2, 3, 2, 15, 2, 2, 4, 16, 2, 7, 1, 1, 1, 10, 21, 1, 1, 1, 141, 2, 4, 1, 4, 2, 1, 1, 17, 1, 3, 3, 4, 1, 3, 1, 3, 2, 1, 1, 2, 33, 1, 6, 6, 1, 2, 4, 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

1.148698354997035006798626946... = 1 + 1/(6 + 1/(1 + 1/(2 + 1/(1 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 12 2009]

PROGRAM

(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(2^(1/5)); for (n=1, 20000, write("b002950.txt", n, " ", x[n])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 12 2009]

CROSSREFS

Cf. A005531 = Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 12 2009]

Adjacent sequences: A002947 A002948 A002949 this_sequence A002951 A002952 A002953

Sequence in context: A046792 A111825 A085552 this_sequence A121090 A010135 A165070

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Herman P. Robinson

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Last modified November 8 07:45 EST 2009. Contains 166143 sequences.


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