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