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About RSolve


Dear.  MathGroup

I need help!!!
I tried to find the general formula for p[n] using Mathematica.
I used "RSolve" package as well as eigenvalue method. 
The answer is supposed to be n!/n^n.


======== Problem is following ========

p[n_] := ((n-1)/n)^(n-1) p[n-1]
p[1] = 1

======================================

E-mail address is  khsong at hyowon.pusan.ac.kr

Thanks.






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