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Words restricted by patterns with at most 2 distinct letters

Alexander Burstein, Toufik Mansour

math.COarXiv:math/0110056

Abstract

We find generating functions for the number of words avoiding certain patterns or sets of patterns on at most 2 distinct letters and determine which of them are equally avoided. We also find the exact number of words avoiding certain patterns and provide bijective proofs for the resulting formulas.

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