Fibonacci, Chebyshev and Ramsey


Pascal’s triangle has long and celebrated history, see this TedEd video:

What makes it more interesting is its relations with various domains of Mathematics (if you don’t understand the three relations discussed, refer Wikipedia). Here I will point few such connections:

1. Fibonacci Numbers: I believe that this is the most celebrated observation from pascal’s triangle. To see the jungle of Equations involved, visit

2. Chebyshev Polynomial: We can find coefficients of Chebyshev Polynomial using pascal’s triangle. See-

3. Ramsey Number: Upper bound of Ramsey Number can be found using Pascal’s triangle, for more details refer :