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A059445
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Continued fraction for square root of (Pi * e / 2).
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2
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2, 15, 14, 1, 2, 3, 17, 1, 1, 5, 1, 30, 1, 3, 2, 1, 1, 1, 3, 3, 1, 4, 2, 9, 2, 1, 9, 1, 7, 1, 6, 1, 5, 1, 5, 3, 1, 1, 3, 1, 36, 4, 18, 2, 1, 2, 4, 1, 3, 366, 3, 1, 1, 16, 2, 1, 2, 2, 1, 3, 3, 1, 5, 2, 2, 34, 1, 2, 2, 1, 18, 1, 1, 16, 1, 1, 1, 3, 4, 7, 1, 21, 6, 5, 1, 2, 1, 11, 4, 1, 1, 14, 4, 17, 1, 1
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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COMMENTS
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ContinuedFraction[Sqrt[ \[Pi]*\[ExponentialE]/2], 100]
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REFERENCES
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C. A. Pickover, "Wonders of Numbers, Adventures in Mathematics, Mind and Meaning," Oxford University Press, Oxford and NY, 2001, page 68.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,20000
C. A. Pickover, "Wonders of Numbers, Adventures in Mathematics, Mind and Meaning," Zentralblatt review
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EXAMPLE
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2.0663656770612464692346959... = 2 + 1/(15 + 1/(14 + 1/(1 + 1/(2 + ...)))) [From Harry J. Smith, Jun 27 2009]
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PROG
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(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(Pi*exp(1)/2)); for (n=1, 20000, write("b059445.txt", n, " ", x[n])); } [From Harry J. Smith, Jun 27 2009]
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CROSSREFS
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Cf. A059444.
Sequence in context: A128759 A066582 A111329 * A077518 A196242 A102101
Adjacent sequences: A059442 A059443 A059444 * A059446 A059447 A059448
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KEYWORD
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cofr,nonn
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AUTHOR
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Robert G. Wilson v, Feb 01 2001
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STATUS
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approved
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