Kako izračunati Pascal's Triangle

Što je Pascal's Triangle?

Pascal's Triangle is a triangular array where each number is the sum of the two numbers directly above it. It encodes binomial coefficients, combinatorics, and the coefficients of binomial expansions. Named after Blaise Pascal (1623–1662) though known much earlier.

Vodič korak po korak

1. 1Row 0: 1 | Row 1: 1, 1 | Row 2: 1, 2, 1 | Row 3: 1, 3, 3, 1
2. 2Entry C(n,k) = entry in row n, position k = n! / (k!(n−k)!)
3. 3Binomial expansion: (a+b)^n coefficients are row n of the triangle
4. 4Sum of row n = 2^n; diagonal sums give Fibonacci numbers

Worked Examples