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

Author

Robert G. Wilson v, Dec 07 2000

Keywords

• cofr
• nonn
• easy

Examples

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

Links

• Harry J. Smith, Table of n, a(n) for n = 0..20000
• G. Xiao, Contfrac
• Index entries for continued fractions for constants

Crossrefs

Cf. A059850.

Programs

Maple

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

Mathematica

ContinuedFraction[ Pi^E, 100]

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

Extensions

More terms from Jason Earls, Jul 12 2001