Chord Diagrams for Motzkin Numbers

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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.

Contributed by: Robert Dickau (April 2011)
Open content licensed under CC BY-NC-SA


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Reference

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



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