Paper detail

On the number of words of $N=3 \,n$ letters with a three-letter alphabet

In this paper we address the well-known problem of counting the number of $3n$-letter words that can be formed from a three-letter alphabet by decomposing it into four possible cases based on its remainder when divided by three. The solution to the problem also gives us some sums of trinomial coefficients.

preprint2026arXivOpen access

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