Motzkin number

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What Wikipedia says

In mathematics, the nth Motzkin number is the number of different ways of drawing non-intersecting chords between n points on a circle (not necessarily touching every point by a chord). The Motzkin numbers are named after Theodore Motzkin and have diverse applications in geometry, combinatorics and number theory.

Excerpt from the Wikipedia article “Motzkin number”, under the CC BY-SA 4.0 license. Read the article on Wikipedia

Image: Robertd at English Wikipedia, CC BY 3.0, via Wikimedia Commons.