P384: Enumeration of all $k$-ary trees in lexicographically

P384: Enumeration of all $k$-ary trees in lexicographically
Input:
An integer $n$.
Output:
All $k$-ary trees with $n$ internal vertices in lexicographically
Complexity:
$O(1- (k-1)^{k-1}/k^k)^{-1}$ time per solution. This limit is $4/3$ for the binary case.
Comment:
Reference:
[Zaks1980] (Bibtex)