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Search: id:A058287
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| A058287 |
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Continued fraction for e^Pi. |
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+0
3
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| 23, 7, 9, 3, 1, 1, 591, 2, 9, 1, 2, 34, 1, 16, 1, 30, 1, 1, 4, 1, 2, 108, 2, 2, 1, 3, 1, 7, 1, 2, 2, 2, 1, 2, 3, 2, 166, 1, 2, 1, 4, 8, 10, 1, 1, 7, 1, 2, 3, 566, 1, 2, 3, 3, 1, 20, 1, 2, 19, 1, 3, 2, 1, 2, 13, 2, 2, 11, 3, 1, 2, 1, 7, 2, 1, 1, 1, 2, 1, 19, 1, 1, 12, 11, 1, 4, 1, 6, 1, 2, 18, 1, 2
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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"The transcendentality of e^{Pi} was proved in 1929." (Wells)
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REFERENCES
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Jan Gullberg, "Mathematics, From the Birth of Numbers," W.W. Norton and Company, NY and London, 1997, page 86.
David Wells, "The Penguin Dictionary of Curious and Interesting Numbers," Revised Edition, Penguin Books, London, England, 1997, page 81.
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LINKS
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G. Xiao, Contfrac
Index entries for continued fractions for constants
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MAPLE
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with(numtheory): cfrac(evalf((exp(1))^(evalf(Pi)), 2560), 256, 'quotients');
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MATHEMATICA
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ContinuedFraction[ E^Pi, 100]
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PROGRAM
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(PARI) \p 300 contfrac(exp(1)^Pi)
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CROSSREFS
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Sequence in context: A040514 A040512 A040511 this_sequence A122706 A096640 A040510
Adjacent sequences: A058284 A058285 A058286 this_sequence A058288 A058289 A058290
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KEYWORD
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cofr,nonn,easy
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 07 2000
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EXTENSIONS
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More terms from Jason Earls (zevi_35711(AT)yahoo.com), Jun 21 2001
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