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A059445
Continued fraction for square root of (Pi * e / 2).
2
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
OFFSET
0,1
REFERENCES
C. A. Pickover, "Wonders of Numbers, Adventures in Mathematics, Mind and Meaning," Oxford University Press, Oxford and NY, 2001, page 68.
LINKS
C. A. Pickover, "Wonders of Numbers, Adventures in Mathematics, Mind and Meaning," Zentralblatt review
EXAMPLE
2.0663656770612464692346959... = 2 + 1/(15 + 1/(14 + 1/(1 + 1/(2 + ...)))). - Harry J. Smith, Jun 27 2009
MATHEMATICA
ContinuedFraction[Sqrt[ \[Pi]*\[ExponentialE]/2], 100]
PROG
(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(Pi*exp(1)/2)); for (n=1, 20000, write("b059445.txt", n-1, " ", x[n])); } \\ Harry J. Smith, Jun 27 2009
CROSSREFS
Cf. A059444 (decimal expansion).
Sequence in context: A066582 A111329 A344889 * A077518 A196242 A102101
KEYWORD
cofr,nonn
AUTHOR
Robert G. Wilson v, Feb 01 2001
EXTENSIONS
Offset changed by Andrew Howroyd, Aug 04 2024
STATUS
approved