Binet's Formula: A closed-form expression for the nth term of a sequence, often used in the context of Fibonacci numbers. Generating Functions: Formal power series whose coefficients correspond to ...

Have you ever heard of the Fibonacci sequence? Or the Golden Ratio? Or the Golden Spiral? These mysterious numbers and shapes are all connected to each other. If you look closely, they can be ...

The binomial transform is a transformation that takes a sequence as an input and gives another sequence as an output according to a certain rule. As an example, we have that the binomial transform of ...