Follow-Up: Finite Difference Method

Original Video here:    • The Finite Difference Method  

Videos mentioned:
James Tanton    • Are all U-Shaped Graphs Quadratic? Le...  
Mathologer    • Why don't they teach Newton's calculu...  

More on Gilbreath's conjecture here: https://primes.utm.edu/glossary/page....

Here is finite differences on wikipedia
https://en.wikipedia.org/wiki/Finite_...

I didn't mention:
Max Peeters gave the following interesting comment:
"John Conway and Richard Guy explain how this method can be further extended in their book 'The Book of Numbers'. They share 2 of them, the first works for simple exponential functions as well (such as 4^n - 3^n), and the second works for sequences where each term is a sum of previous terms (like Fibonnaci's sequence).
For anyone interested: wolfram has info on both of them, they're called "Jackson's Difference Fan" and "Quotient-Difference Table"."
https://mathworld.wolfram.com/Jackson...
https://mathworld.wolfram.com/Quotien...