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Lecture 1.6: An explicit formula for Catalan numbers

This is the sixth lecture of the REU Apprentice program 2021 at the University of Chicago. We discuss an explicit formula for Catalan numbers.

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Lecture 1.7: Generating Functions
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Lecture 1.7: Generating Functions

Catalan numbers derived!
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Catalan numbers derived!

Lecture 1.1: Bijections and Permutations
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Lecture 1.1: Bijections and Permutations

Catalan Numbers - Numberphile
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Catalan Numbers - Numberphile

What are...Catalan numbers?
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What are...Catalan numbers?

William Dunham, A tribute to Euler
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William Dunham, A tribute to Euler

Catalan Numbers Part I: Counting Triangulations (Part II w/ Michael Penn)
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Catalan Numbers Part I: Counting Triangulations (Part II w/ Michael Penn)

Math Encounters -- A Surreptitious Sequence: The Catalan Numbers
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Math Encounters -- A Surreptitious Sequence: The Catalan Numbers

Catalan Numbers | Generating function and closed form. Collaboration with @ProfOmarMath!
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Catalan Numbers | Generating function and closed form. Collaboration with @ProfOmarMath!

✓ Задача про пьяницу. Числа Каталана | В интернете кто-то неправ #025 | Иван Ященко и Борис Трушин
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✓ Задача про пьяницу. Числа Каталана | В интернете кто-то неправ #025 | Иван Ященко и Борис Трушин

Why There's 'No' Quintic Formula (proof without Galois theory)
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Why There's 'No' Quintic Formula (proof without Galois theory)

Lecture 1.5: Catalan numbers
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Lecture 1.5: Catalan numbers

Catalan Numbers - On the Right Path
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Catalan Numbers - On the Right Path

Walking city streets: Catalan Closed Form (visual proof from lattice paths)
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Walking city streets: Catalan Closed Form (visual proof from lattice paths)

The French Do Not Care About Work
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The French Do Not Care About Work

Lecture 1.2: The Group of Permutations
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Lecture 1.2: The Group of Permutations

How to Answer ANY Question (Even If You Don't Know The Answer!)
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How to Answer ANY Question (Even If You Don't Know The Answer!)

The Strangest Things that Correlate with IQ
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The Strangest Things that Correlate with IQ

Counting with Calculus: The Magic of Generating Functions
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Counting with Calculus: The Magic of Generating Functions

How to calculate Catalan Number | Find Nth catalan number in most efficient ways (3 methods)
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How to calculate Catalan Number | Find Nth catalan number in most efficient ways (3 methods)

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