Wolfram Demonstrations Project

This Demonstration illustrates one of the many interpretations of the Motzkin numbers: Given

points arranged around a circle, the Motzkin numbers count the number of ways to draw from zero to

nonintersecting chords.

Reference

[1] R. P. Stanley, Enumerative Combinatorics, Volume 2, Cambridge: Cambridge University Press, 1999 p. 238.

Contributed by: Robert Dickau

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Chord Diagrams for Motzkin Numbers