2016-03-26, post № 111
mathematics, programming, Pygame, Python, #crown, #generate, #sequence
Pascal’s triangle is an interesting mathematical sequence. It is often written as a triangle, starting with , then . To generate the next row, you add the two numbers above to form another one. So the next row in the sequence is then , and so on (sequence A007318 in OEIS).
One interesting property of Pascal’s triangle is the generation of binomials.
To calculate , you can look at the 𝟦-th row (listed above and when starting to count at 𝟢) and determine
This program generates Pascal’s sequence in a rather unusual shape, looking a bit like a crown.
To get more information about Pascal’s triangle, check out this Wikipedia entry.
- ‘F1’ advances the sequence,
- ‘Space’ takes a screenshot.