(1)Exercice given at the end of Leure

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(1)

Exercice given at the end of Leure.

By definition, a forewithk trees is a sequence (t, . . . ,tk) ofktrees. Denote byFn(k) the set of all fores withktrees andnvertices. Find a formula for|Fn(k)|.

Hint. Extend the bijeion between trees of sizenandS()n to a bijeion betweenFn(k)andS(k)n .

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