Source: wikibot/motzkin-number
= Motzkin number
{wiki=Motzkin_number}
The Motzkin numbers are a sequence of natural numbers that arise in various combinatorial contexts. The \\(n\\)th Motzkin number, denoted as \\(M_n\\), counts the number of ways to draw non-intersecting chords connecting \\(n\\) points on a circle to the diameter below, without any chords crossing each other. Additionally, it can represent the number of monotonic paths along the edges of a grid.