Properties of Pascal's Triangle (Mathematics for Computer Science)
2Now that we have learned how to build Pascal's triangle, and how to do so easily with Pascal's formula. Here we will see some of the many properties that are buried in the triangle.
Time Stamps:
0:00 Opening and Recap
2:18 Some number sequences that appear in the triangle directly
8:23 Indeed, the triangle/triangular numbers are there and it is not "black magic"
15:40 Fibonacci numbers appear in the shallow diagonals
20:00 Look at the rows, the sums of rows are powers of 2 (we can prove this using the Binomial Theorem)
23:14 Closing
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