A058288 Continued fraction expansion of Pi^e.

22, 2, 5, 1, 1, 1, 1, 1, 3, 2, 1, 1, 3, 9, 15, 25, 1, 1, 5, 4, 1, 2, 1, 1, 50, 1, 1, 1, 1, 7, 1, 1, 1, 3, 6, 1, 20, 10, 1, 2, 10, 1, 8, 2, 2, 1, 1, 1, 4, 1, 43, 2, 2, 3, 1, 2, 8, 1, 1, 16, 1, 4, 1, 3, 1, 1, 1, 2, 1, 1, 6, 1, 2, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 9, 1, 1, 105, 1, 3, 6, 2, 1, 1, 3, 1, 3, 2, 1, 1

Offset

0,1

Links

Harry J. Smith, Table of n, a(n) for n = 0..20000

G. Xiao, Contfrac

Index entries for continued fractions for constants

Example

Pi^e = 22.459157718361045473... = 22 + 1/(2 + 1/(5 + 1/(1 + 1/(1 + ...)))). - Harry J. Smith, Apr 19 2009

Maple

cfrac(evalf((evalf(Pi))^(exp(1)), 2560), 256, 'quotients');

Mathematica

ContinuedFraction[ Pi^E, 100]

Prog

(PARI) contfrac(Pi^exp(1))
(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(Pi^exp(1)); for (n=0, 20000, write("b058288.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Apr 19 2009

Crossrefs

Cf. A059850.

Sequence in context: A040479 A336895 A040481 * A040482 A040483 A210647

Adjacent sequences: A058285 A058286 A058287 * A058289 A058290 A058291

Keyword

cofr,nonn,easy

Author

Robert G. Wilson v, Dec 07 2000

Extensions

More terms from Jason Earls, Jul 12 2001

Status

approved