2001 IMO Shortlist Problems/C5

Revision as of 17:32, 20 August 2008 by Minsoens (talk | contribs) (New page: == Problem == Find all finite sequences <math>(x_0, x_1, \ldots,x_n)</math> such that for every <math>j</math>, <math>0 \leq j \leq n</math>, <math>x_j</math> equals the number of times <m...)
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Problem

Find all finite sequences $(x_0, x_1, \ldots,x_n)$ such that for every $j$, $0 \leq j \leq n$, $x_j$ equals the number of times $j$ appears in the sequence.

Solution

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