A058651 Continued fraction for Pi + e.

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

Offset

0,1

Comments

The question of the transcendence of the number Pi + e is still open.

Links

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

G. Xiao, Contfrac

Index entries for continued fractions for constants

Example

a(1) = 5 because Pi + e = 5.859874482048838473822930854632165381954416493075065395941912220031...
5.859874482048838473822930854... = 5 + 1/(1 + 1/(6 + 1/(7 + 1/(3 + ...)))). - Harry J. Smith, May 31 2009

Prog

(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-1, " ", x[n])); } \\ Harry J. Smith, May 31 2009

Crossrefs

Cf. A001203, A003417.

Cf. A059742 (decimal expansion).

Sequence in context: A228475 A296355 A306700 * A164105 A262153 A160824

Adjacent sequences: A058648 A058649 A058650 * A058652 A058653 A058654

Keyword

nonn,cofr,easy

Author

Avi Peretz (njk(AT)netvision.net.il), Dec 26 2000

Extensions

More terms from Jason Earls, Jun 28 2001

Offset changed by Andrew Howroyd, Aug 04 2024

Status

approved