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Lecture 7: Generating Functions for Catalan Numbers

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Dec 17, 2025
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MIT 18.200 Principles of Discrete Applied Mathematics, Spring 2024 Instructor: Peter Shor View the complete course: https://ocw.mit.edu/courses/18-200-principles-of-discrete-applied-mathematics-spring-2024 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61p2fXeXjNCrfNHFwyW-bl0 We derive the formula for the generating functions of Catalan numbers, and we then use it to give the formula for Catalan numbers. License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu Support OCW at http://ow.ly/a1If50zVRlQ We encourage constructive comments and discussion on OCW’s YouTube and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at https://ocw.mit.edu/comments.

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Lecture 7: Generating Functions for Catalan Numbers | NatokHD