# A Super Factorial, Double Factorial, Hyper Factorial?!

Happy New Year everyone! You probably know what a factorial is. $$n!=n \left(n-1\right)\left(n-2\right)\left(n-3\right)\times3\times2\times1$$ Or, if you like calculus: $$x!=\int_{0}^{\infty} t^x{e^{-t}} dt$$ Like, for example, 8!…

# Proof Writing (Part 1): An introduction to a couple types of proof.

Hello, and welcome back, and today we’re going to be pausing our discussion of Pascal’s triangle temporarily, and discussing some proof writing! (Don’t worry, this…

# Pascal’s Triangle (Part 3):

Hello, and welcome to the 3rd episode in this 5 part series! In this blog we will be formally writing the Hockey-stick Principle showcased in…

# Recamán Sequence

The Recamán Sequence might look like a jumble of numbers at first glance. But then it becomes clear. THE BIG PICTURE The 0th term is…

# Erwin Schrödinger and the Half-Alive Cat

Austrian physicist Erwin Schrödinger is one of the founders of quantum mechanics. In 1935, he posed this problem: imagine you take a cat and place it in a sealed box along with a radioactive device that had a 50% chance of killing the cat. In an hour, is the cat dead or alive? What do you think?

# Pascal’s Triangle (Part 2)

Hello everyone! Welcome back to my blog series on Pascal’s Triangle. Today we will be looking at the first pattern covered in the last blog–triangular…

# Pascal’s Triangle (Part 1)

In this blog, we discus some of the more basic properties in Pascal’s triangle, and lay a foundation for the future blogs in this series!

# The Fibonacci Sequence (Part 1)

Hi everyone! Today I am going to talk about the Fibonacci sequence and where it appears in nature.

# Modular Arithmetic Part 5 (Finale)

The pinnacle of this series of modular arithmetic, we prove a theorem that ties everything together!

# Modular Arithmetic Part 4 (Multiplication tables and inverses)

In the penultimate episode of modular arithmetic, we discuss the relation between inverses, and multiplication tables, and set the scene for part 5!