Pandigital Approximations

The digits 1-9 can work some impressive tricks:

http://mathworld.wolfram.com/PiApproximations.html

http://mathworld.wolfram.com/eApproximations.html
The first formula, found by B. Ziv in 2004, produces the first 10 digits of pi.

The second, astonishingly, reproduces e to 18,457,734,525,360,901,453,873,570 decimal places. It was discovered by Richard Sabey, also in 2004.

(Thanks, Robin.)

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