Question: (54) A t-ary tree is a plane rooted tree such that every node has either t or 0 successors. A node with t successors is

(54) A t-ary tree is a plane rooted tree such that every node has either t or 0 successors. A node with t successors is called an internal node. How many leaves has a t-ary tree with n internal nodes? Moreover, let an be the number of t-ary trees with n internal nodes and A(z) the generating function of this sequence. Find a functional equation for A(z)

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