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Search: id:A002948
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| A002948 |
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Continued fraction for cube root of 5.
(Formerly M0300)
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+0
3
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| 1, 1, 2, 2, 4, 3, 3, 1, 5, 1, 1, 4, 10, 17, 1, 14, 1, 1, 3052, 1, 1, 1, 1, 1, 1, 2, 2, 1, 3, 2, 1, 13, 5, 1, 1, 1, 13, 2, 41, 1, 4, 12, 1, 5, 2, 7, 1, 1, 3, 33, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 15, 12
(list; graph; listen)
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OFFSET
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1,3
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
S. Lang and H. Trotter, Continued fractions for some algebraic numbers, J. Reine Angew. Math. 255 (1972), 112-134.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,20000
G. Xiao, Contfrac
Index entries for continued fractions for constants
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EXAMPLE
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5^(1/3) = 1.70997594667669698... = 1 + 1/(1 + 1/(2 + 1/(2 + 1/(4 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 08 2009]
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PROGRAM
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(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(5^(1/3)); for (n=1, 20000, write("b002948.txt", n, " ", x[n])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 08 2009]
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CROSSREFS
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Cf. A005481 = Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 08 2009]
Sequence in context: A112155 A094953 A122687 this_sequence A117113 A162439 A154417
Adjacent sequences: A002945 A002946 A002947 this_sequence A002949 A002950 A002951
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KEYWORD
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nonn,cofr
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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