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Search: id:A002951
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| A002951 |
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Continued fraction for fifth root of 5.
(Formerly M0059)
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+0
2
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| 1, 2, 1, 1, 1, 2, 1, 2, 8, 1, 25, 1, 5, 1, 22, 1, 8, 1, 1, 9, 1, 1, 4, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 6, 2, 46, 1, 12, 1, 32, 1, 2, 3, 2, 3, 55, 1, 12, 3, 8, 1, 1, 11, 1, 4, 1, 1, 1, 2, 1, 1, 7, 1, 1, 4, 3, 3, 3218, 1, 3, 1, 2, 2, 3, 1, 1, 2, 11, 1, 7, 57, 2, 2, 2, 2, 1, 1, 67, 1, 2, 3, 1, 1, 13, 3
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Fifth root of 5 = 5^(1/5) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 10 2009]
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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).
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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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1.379729661461214832390063464... = 1 + 1/(2 + 1/(1 + 1/(1 + 1/(1 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 10 2009]
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PROGRAM
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(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(5^(1/5)); for (n=1, 20000, write("b002951.txt", n, " ", x[n])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 10 2009]
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CROSSREFS
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Cf. A005534 = Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 10 2009]
Sequence in context: A002339 A074807 A165194 this_sequence A093993 A123529 A140747
Adjacent sequences: A002948 A002949 A002950 this_sequence A002952 A002953 A002954
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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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EXTENSIONS
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Copied more terms from Smith's b-file. Hagen von Eitzen (math(AT)von-eitzen.de), Jul 20 2009
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