Chord Diagrams for Motzkin Numbers

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

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


Snapshots


Details

Reference

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



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send