Pascal's Triangle Generator

About this calculator

Pascal's triangle is a triangular array of numbers where each entry is the sum of the two directly above it, starting from a single 1 at the top — the values in each row are exactly the binomial coefficients C(n,k), the number of ways to choose k items from a set of n. This generator builds any number of rows using exact integer arithmetic, so the values stay precise even for large row counts where floating-point rounding would otherwise creep in.

The triangle is a core teaching tool in combinatorics and algebra, used to expand binomials like (x+y)^n without multiplying term by term, to read off combination counts directly, and to illustrate patterns in number theory such as powers of 11, triangular numbers, and connections to the Fibonacci sequence found along its diagonals.