A059445 Continued fraction for square root of (Pi * e / 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

Harry J. Smith, Table of n, a(n) for n = 0..19999

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

Adjacent sequences: A059442 A059443 A059444 * A059446 A059447 A059448

Keyword

cofr,nonn

Author

Robert G. Wilson v, Feb 01 2001

Extensions

Offset changed by Andrew Howroyd, Aug 04 2024

Status

approved