## The Power of Generating Functions

In Pentagonal Number Theory, I touched on the topic of generating function but now I'll give examples of generating functions being used to find explicit solutions »

In Pentagonal Number Theory, I touched on the topic of generating function but now I'll give examples of generating functions being used to find explicit solutions »

Yesterday, I stumbled upon this very surprising identity while reading on nested radicals: $$ \sqrt[3]{2\pm\sqrt{5}} = \frac{1\pm\sqrt{5}}{2} $$ While »

Today, I'll prove Euler's Pentagonal Number Theorem and show how he used it to find recurrence formulae for the sum of \(n\)'s positive divisors and »

Envelopes kept cropping up in my doodles but I never gave them much attention. Up until the day I started drawing line segments of a constant »

The name of the blog is tribute to Leonhard Euler and Paul Erdős, known to have written a ton of mathematical papers. They will be my »