What Lies Above Pascal's Triangle?

We explore how to extend Pascal's triangle upwards. Binomial series expansion proof: https://proofwiki.org/wiki/Binomial_Theorem#General_Binomial_Theorem https://en.wikipedia.org/wiki/Binomial_series 00:00 First considerations 01:44 Binomial coefficients 04:35 Extending further upwards 08:38 Binomial theorem 09:40 Proving the pattern continues 15:07 Non-integers 15:48 Alternative series expansion 20:45 Even more values of a & b