Pascal's triangle

Pascal's triangle shows the coefficients of the binomial theorem in the form

(a + b)ⁿ = aⁿ + n a^n − 1b + ½ n (n − 1) a^n −2b² + ···

A number is calculated as the sum of the numbers at the left and the right just above it. You see it by 56 = 35 + 21.

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

The name of this triangle is a tribute to the French mathematician Blaise Pascal (1623 - 1662).