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Search: id:A058651
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| A058651 |
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Continued fraction for pi+e. |
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+0
2
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| 5, 1, 6, 7, 3, 21, 2, 1, 2, 2, 1, 1, 2, 3, 3, 2, 5, 2, 1, 1, 1, 1, 3, 1, 8, 4, 4, 1, 1, 1, 1, 8, 1, 4, 1, 5, 1, 1, 1, 2, 4, 3, 2, 1, 1, 2, 1, 10, 1, 4, 1, 2, 1, 12, 1, 8, 2, 7, 39, 365, 2, 15, 2, 25, 1, 2, 5, 3, 3, 9, 3, 1, 1, 9, 1, 1, 47, 1, 1, 18, 1, 1, 2, 6, 1, 1, 1, 4, 1, 3, 1, 1, 1, 1, 4, 1, 6, 37
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The question of the transcendence of the number pi+e is still open.
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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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a(1) = 5 because pi+e = 5.859874482048838473822930854632165381954416493075065395941912220031...
5.859874482048838473822930854... = 5 + 1/(1 + 1/(6 + 1/(7 + 1/(3 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 31 2009]
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PROGRAM
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(PARI) \p 500; contfrac(Pi+exp(1))
(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(Pi+exp(1)); for (n=1, 20000, write("b058651.txt", n, " ", x[n])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 31 2009]
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CROSSREFS
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Cf. A001203, A003417.
Cf. A059742 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 31 2009]
Sequence in context: A086231 A163336 A131944 this_sequence A164105 A160824 A007397
Adjacent sequences: A058648 A058649 A058650 this_sequence A058652 A058653 A058654
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KEYWORD
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nonn,cofr,easy
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AUTHOR
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Avi Peretz (njk(AT)netvision.net.il), Dec 26 2000
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EXTENSIONS
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More terms from Jason Earls (zevi_35711(AT)yahoo.com), Jun 28 2001
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