# Algorithmic counting of nonequivalent compact Huffman codes

@article{Elsholtz2019AlgorithmicCO, title={Algorithmic counting of nonequivalent compact Huffman codes}, author={Christian Elsholtz and Clemens Heuberger and Daniel Krenn}, journal={ArXiv}, year={2019}, volume={abs/1901.11343} }

It is known that the following five counting problems lead to the same integer sequence~$f_t(n)$: the number of nonequivalent compact Huffman codes of length~$n$ over an alphabet of $t$ letters, the number of `nonequivalent' canonical rooted $t$-ary trees (level-greedy trees) with $n$~leaves, the number of `proper' words, the number of bounded degree sequences, and the number of ways of writing $1= \frac{1}{t^{x_1}}+ \dots + \frac{1}{t^{x_n}}$ with integers $0 \leq x_1 \leq x_2 \leq \dots \leq…

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