Journal of Integer Sequences, Vol. 18 (2015), Article 15.7.1

Equivalence Classes of Motzkin Paths Modulo a Pattern of Length at Most Two


Jean-Luc Baril and Armen Petrossian
LE2I UMR CNRS 6306
University of Bourgogne
21078 Dijon
France

Abstract:

For any pattern α of length at most two, we enumerate equivalence classes of Motzkin paths where two paths of the same length are equivalent whenever they coincide on all occurrences of the pattern α.

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(Concerned with sequences A000045 A000079 A001405 A132916 A165407 A191385.)

Received January 12 2015; revised versions received May 20 2015; June 4 2015. Published in Journal of Integer Sequences, June 26 2015.

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