John D. Cook5/31/2025

The ellipse hidden inside Pascal’s triangle

John
The nth row of Pascal’s triangle contains the binomial coefficients C(n, r) for r ranging from 0 to n. For large n, if you print out the numbers in the nth row vertically in binary you can see a circular arc. Here’s an example with n = 50. You don’t have to use binary. Here’s are the numbers in the row […] The post The ellipse hidden inside Pascal’s triangle first appeared on John D. Cook .