Re: How do I compute e^e to thounands of decimal places?

In article <1166327233.074973.319690@xxxxxxxxxxxxxxxxxxxxxxxxxxx>,
john <xyz91234@xxxxxxxxx> wrote:
I know that I can compute e quickly by using the Taylor series with the
binary splitting.
I there any fast algorithm for computing e^e to high precision?

e^e = e sum_{k=0}^infty b_k /k!

where is the k'th Bell number. These are integers that can be
computed e.g. using the recurrence
b_{k+1} = sum_{j=0}^k (k choose j) b_j.

Robert Israel israel@xxxxxxxxxxx
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia Vancouver, BC, Canada



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