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Pascal's triangle

Each cell is the sum of the two above. Binomial coefficients in one image.

A triangle of numbers where each cell is the sum of the two above. Powerful in combinatorics and binomial expansion.

First rows

  • Row 0: 1
  • Row 1: 1 1
  • Row 2: 1 2 1
  • Row 3: 1 3 3 1
  • Row 4: 1 4 6 4 1

Row n is the coefficients of (a+b)ⁿ.