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Rumor Rithmetic (Posted on 2008-04-25) Difficulty: 2 of 5
You start a rumor by telling it to n people and each of them tells it to another n-1 people. If each of these people, in turn, tells the rumor to another n-2 people, and so forth with no person hearing the rumor from more than one source, find a closed-form expression (in terms of n) for the total number of people that have been told the rumor.

No Solution Yet Submitted by Dennis    
Rating: 2.0000 (3 votes)

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re: computer aided solution (spoiler) | Comment 2 of 3 |
(In reply to computer aided solution (spoiler) by Charlie)

Sloane A007526 gives the equation as
 
     a(n) = n(a(n-1)+1)

  Posted by Dej Mar on 2008-04-25 23:33:23

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