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Introduction
Counting dots
How many dots will be in the 9th pentagonal number?
How to find the 9th pentagonal number
Is there a pentagonal number with 200 dots?
Find a formula for the number of dots in the nth pentagonal number
Formula for nth term
Closed form solution
Conclusion
How to view the fifth pentagonal number
Intro
Chapter 1: Warmup
Chapter 2: Partition numbers can be deceiving
Chapter 3: Euler's twisted machine
Chapter 4: Triangular, square and pentagonal numbers
Chapter 5: The Ramanujan-Hardy-Rademacher formula
Chapter 6: Euler's pentagonal number theorem (proof part 1)
Chapter 7: Euler's machine (proof part 2)
Credits