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How to Construct Pascal's Triangle. In Pascal's Triangle, the top row is 1, with the second row just below it containing 1 and 1. To construct each subsequent row, add each pair of numbers, moving from left to right so that each number on a row is the sum of the two numbers just above it, to the right and the left.Put a 1 on both ends of each row.o construct each subsequent row, add each pair of numbers, moving from left to right so that each number on a row is the sum of the two numbers just above it, to the right and the left. Put a 1 on both ends of each row.
Pascal's triangle. If one takes Pascal's triangle with 2n rows and colors the even numbers white, and the odd numbers black, the result is an approximation to the Sierpinski triangle. More precisely, the limit as n approaches infinity of this parity-colored 2n-row Pascal triangle is the Sierpinski triangle.